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Carlos Lizama

Full Professor

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

Evolution equations and their applications to problems in Physics, Biology, Engineering and Medicine. Algebraic systems of linear operators and their applications to Partial Differential Equations. Fourier transforms and their applications.

Dr.rer.nat., University of Stuttgart. Alemania, 1990
Master en Matemática, Universidad de Santiago de Chile. Chile, 1987
Licenciado en Matemática, Universidad de Santiago de Chile. Chile, 1985

Full Professor Full Time

Universidad de Santiago de Chile

Ciencia

Santiago, Chile

1987 - A la fecha
Profesor Invitado Other

UNIVERSIDAD DE ZARAGOZA

Zaragoza, España

2014 - 2015
Profesor Invitado Other

Universidad Federal de Pernambuco

Recife, Brasil

2007 - 2007

Academic Full Time

University of Santiago de Chile

Chile

1985 - A la fecha

Postdoctoral Training

1. 2017-2021: S. Zamorano, Ph.D. Universidad de Chile, Chile.

2. 2016: L. Abadías, Ph.D. Universidad de Zaragoza, Spain. Present position: Adjoint professor at Universidad de Zaragoza, Spain.

3. 2015: M.P. Velasco, Ph.D. Universidad Complutense de Madrid, Spain. Present position: Adjoint professor at Universidad Politécnica de Madrid, Spain.

4. 2012-2013: J. Mesquita, Ph.D. University of Sao Paulo, Brazil. Present position: Assistant professor
at University of Brasilia, Brazil.

5. 2011: E. Alvarez, Ph.D. University of Puerto Rico, USA. Present Position: Assistant Professor at
Universidad del Norte, Colombia.

6. 2007-2008: V. Vergara, Ph.D. University of Halle, Germany. Present Position: Associate Professor
at Universidad del Bio Bio, Chile.

7. 2007-2008: V. Poblete, Ph.D. University of Santiago de Chile, Chile. Present Position: Associate
Professor at Universidad de Chile, Chile.

Thesis advising

Ph.D. Thesis

1. J. Miron Aquino, A study on solutions to damped fractionalorder Cauchy problems. Ph.D. Mathematics, Universidade Estadual Paulista and USACH, Brasil and Chile, 2025.

2. J. Bravo, Existence and qualitative properties of solutions for abstract problems with nonlocal operators. Ph.D. Mathematics at Universidad de Santiago de Chile, 2023.

3. S. Diaz, Well-posedness and qualitative properties for abstract time-difference equations. Ph.D. Mathematics at Universidad del Norte, Barranquilla, Colombia, 2021

4. S. Rueda, Qualitative properties for abstract evolution equations in continuous and discrete time. Ph.D. Mathematics, Universidad de Santiago de Chile, 2021.

5. . J. González-Camus, New challenges in Volterra equations and the discrete fractional Laplacian. Ph.D. Mathematics, Universidad de Santiago de Chile, 2020.

6. L. R. Gambera, Zero-one law for (a,k)-regularized resolvent families and the Blackstock-Crighton-Westervelt equation on Banach spaces. Ph.D. Mathematics, Universidade Estadual Paulista and USACH, Brasil and Chile, 2020.

7. C. Leal, On qualitative properties of fractional-difference equations on abstract spaces and their applications to lattices models, Ph.D. Mathematics, University of Santiago de Chile, 2018.

8. A. Pereira, Qualitative properties of resolvent families of operators, Ph.D. Mathematics, University of Talca, 2017.

9. F. Poblete, Qualitative properties for algebraic systems of linear operators and applications to
evolution equations. Ph.D. Mathematics at Universidad de Chile, Chile, 2013.

10. J.C. Pozo, Regularity and qualitative properties for solutions of some evolution equations, Ph.D.
Mathematics at Universidad de Chile, Chile, 2013.

11. R. Ponce, Characterizations of maximal regularity for some classes of evolution equations, Ph.D.
Mathematics at USACH, Chile, 2011.

12. J.C. De Souza, Uma teoria de regularidade para certas equacoes de evolucao em escala de tempo
discreto e coninuo, Ph.D. Mathematics at UFPE, Brazil, 2009.

13. V. Poblete, Fourier multipliers and maximal regularity for integro-differential equations in Banach
spaces, Ph.D. Mathematics at USACH, Chile, 2006.

M.Sc. Thesis

1. J. Bravo, Methods of operator theory for fractional difference equations (spanish), M.Sc. Mathematics, USACH, 2018.

2. C. Leal, Existence of strong solutions of semilinear evolution equations with nonlocal initial conditions
(spanish), M. Sc. Mathematics, USACH, 2013.

3. D. Araya, Almost automorphic solutions of dierential and dierence equations (spanish), M. Sc.
Mathematics, USACH, 2010.

4. S. Calzadillas, Bounded mild solutions of perturbed Volterra equations with innite delay (spanish),
M.Sc. Mathematics, USACH, 2010.

5. V. Poblete, On multiplicative perturbation for resolvent families of operators (spanish), M. Sc.
Mathematics, USACH, 2002.

6. V. Vergara, Conditions for the uniform stability for resolvent families of operators (spanish), M. Sc.
Mathematics, USACH, 2001.

And many more in undergraduate level.

Research Fellowship

ALEXANDER VON HUMBOLDT FOUNDATION

Alemania, 1997

Research fellowship to do research at the University of Tübingen, Germany
Research Fellowship

CAMPUS IBERUS

España, 2014

Research Fellowship to do research at the University of Zaragoza, Spain.
Most Download Article

Science Direct

Estados Unidos, 2008

The paper "Almost automorphic mild solutions to fractional differential equations" is featured in ScienceDirect as the top 20 most downloaded article, for Journal of Nonlinear Analysis.
Prestigious researcher

UNIVERSIDAD POLITECNICA DE VALENCIA

España, 2016

Awarded by UPV, Valencia, Spain, as prestigious researcher (PAID 02-15)
Top 10% most downloaded paper

Journal: Mathematical Methods in the Applied Sciences

Estados Unidos, 2019

The paper "Fundamental solutions for discrete dynamical systems involving the fractional Laplacian" is featured in the top 10% most downloaded papers, for the Journal Mathematical Methods in the Applied Sciences.
Top 2% scientist ranking of Stanford/Elsevier's

STANFORD UNIVERSITY

Chile, 2024

Included in the top 2% scientist ranking of Stanford/Elsevier's, that identify the world's leading researchers, representing approximately 2% of all scientists worldwide.
Ranked # 7 in Chile and # 2815 in the world among best scientists 2025

Research.com

Chile, 2025

Ranked # 7 in Chile and # 2815 in the world among best scientists 2025. The ranking is based on D-index (Discipline H-index) metric, which only includes papers and citation values for an examined discipline. The ranking includes only leading scientists with D-index of at least 30 for academic publications made in the area of Mathematics.


Well-posedness for strongly damped abstract Cauchy problems of fractional order Aquino, Joao; Lizama, Carlos; Prokopczyck, Andrea Article ISI PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2025)
A characterization of Lp-maximal regularity for time-fractional systems in UMD spaces and applications Lizama, Carlos Article ISI JOURNAL OF DIFFERENTIAL EQUATIONS (2024)
ON SEMIDISCRETE MODELS DOMINATED BY THE HEAT, WAVE AND LAPLACE EQUATIONS Lizama, Carlos Article ISI DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2024)
Poisson Equation and Discrete One-Sided Hilbert Transform for (<i>C</i>, <i>α</i>)-Bounded Operators Abadias, Luciano; Gale, Jose E.; Lizama, Carlos Article ISI ISRAEL JOURNAL OF MATHEMATICS (2023)
Strongly LP well-posedness for abstract time-fractional Moore-Gibson-Thompson type equations Lizama, Carlos Article ISI JOURNAL OF DIFFERENTIAL EQUATIONS (2023)
THE SEMIDISCRETE DAMPED WAVE EQUATION WITH A FRACTIONAL LAPLACIAN Lizama, Carlos Article ISI PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2023)
<i>C</i>-Semigroups, subordination principle and the Levy α-stable distribution on discrete time Alvarez, Edgardo; Diaz, Stiven; Lizama, Carlos Article ISI COMMUNICATIONS IN CONTEMPORARY MATHEMATICS (2022)
Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case Lizama, Carlos Article ISI PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2022)
MAXIMAL REGULARITY FOR TIME-STEPPING SCHEMES ARISING FROM CONVOLUTION QUADRATURE OF NON-LOCAL IN TIME EQUATIONS Lizama, Carlos Article ISI DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2022)
Fundamental solutions for semidiscrete evolution equations via Banach algebras Lizama, Carlos; Miana, Pedro J. Article ISI Advances in Difference Equations (2021)
Well-posedness for the abstract Blackstock-Crighton-Westervelt equation Gambera, Laura R.; Lizama, Carlos Article ISI JOURNAL OF EVOLUTION EQUATIONS (2021)
A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity Goodrich C. Article ISI SCOPUS Israel Journal of Mathematics (2020)
DISCRETE MAXIMAL REGULARITY FOR VOLTERRA EQUATIONS AND NONLOCAL TIME-STEPPING SCHEMES Article ISI SCOPUS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2020)
Nonlocal operators are chaotic Lizama, Carlos; Peris, Alfred Article ISI CHAOS (2020)
POSITIVITY, MONOTONICITY, AND CONVEXITY FOR CONVOLUTION OPERATORS Goodrich, Christopher; Lizama, Carlos Article ISI DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2020)
Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics Zamorano S. Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2019)
On the existence and uniqueness of (N, lambda)-periodic solutions to a class of Volterra difference equations Article ISI SCOPUS ADVANCES IN DIFFERENCE EQUATIONS (2019)
ON WELL-POSEDNESS OF VECTOR-VALUED FRACTIONAL DIFFERENTIAL-DIFFERENCE EQUATIONS Abadias, L; Miana, PJ; Velasco, MP Article ISI SCOPUS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2019)
Well-posedness for degenerate third order equations with delay and applications to inverse problems Seoane-Sepulveda, JB Article ISI SCOPUS ISRAEL JOURNAL OF MATHEMATICS (2019)
A characterization of well-posedness for abstract Cauchy problems with finite delay Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2018)
A Semigroup Approach to Fractional Poisson Processes Rebolledo, Rolando; Lizama, Carlos Article ISI SCOPUS COMPLEX ANALYSIS AND OPERATOR THEORY (2018)
Estimation of the light field inside photosynthetic microorganism cultures through Mittag-Leffler functions at depleted light conditions Fuente, David; Urchueguía, Javier F. Article ISI SCOPUS JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER (2018)
HOLDER REGULARITY FOR THE MOORE-GIBSON-THOMPSON EQUATION WITH INFINITE DELAY Article ISI SCOPUS COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2018)
HOLDER-LEBESGUE REGULARITY AND ALMOST PERIODICITY FOR SEMIDISCRETE EQUATIONS WITH A FRACTIONAL LAPLACIAN Roncal, L Article ISI SCOPUS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2018)
Lebesgue regularity for differential difference equations with fractional damping Leal, C Article ISI SCOPUS MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2018)
LEBESGUE REGULARITY FOR NONLOCAL TIME-DISCRETE EQUATIONS WITH DELAYS Leal, Claudio; Lizama, Carlos Article ISI SCOPUS Fractional Calculus and Applied Analysis (2018)
Nonlocal Integrated Solutions for a Class of Abstract Evolution Equations Rueda, S Article SCOPUS Acta Applicandae Mathematicae (2018)
Regularity properties of mild solutions for a class of volterra equations with critical nonlinearities Abadias, L Article ISI SCOPUS (2018)
Well posedness for semidiscrete fractional Cauchy problems with finite delay Article ISI JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2018)
Chaotic semigroups from second order partial differential equations Murillo-Arcila, Marina Article SCOPUS Journal of Mathematical Analysis and Applications (2017)
l(p)-MAXIMAL REGULARITY FOR A CLASS OF FRACTIONAL DIFFERENCE EQUATIONS ON UMD SPACES: THE CASE 1 < alpha <= 2 Murillo-Arcila M. Article ISI SCOPUS Banach Journal of Mathematical Analysis (2017)
Linear dynamics of semigroups generated by differential operators Alberto Conejero, J.; Murillo-Arcila, Marina; Peris, Alfredo Article ISI SCOPUS OPEN MATHEMATICS (2017)
Maximal regularity in l(p) spaces for discrete time fractional shifted equations Murillo-Arcila M. Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2017)
On the exponential stability of Samuelson model on some classes of times scales Toon, Eduard Article ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2017)
Regularity properties of mild solutions for a class of abstract Volterra equation with critical nonlinearities Abadias, L; Alvarez, E; Lizama, C Article Journal of Integral Equations and Applications (2017)
THE POISSON DISTRIBUTION, ABSTRACT FRACTIONAL DIFFERENCE EQUATIONS, AND STABILITY Article ISI SCOPUS PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2017)
Almost automorphic mild solutions to fractional partial difference-differential equations Abadias, L; Lizama, C. Article ISI SCOPUS APPLICABLE ANALYSIS (2016)
Almost automorphic solutions of Volterra equations on time scales. Lizama, C.; Mesquita, J.; Ponce, R.; Toon, E. Article Differential and Integral Equations (2016)
APPLICATION OF MEASURE OF NONCOMPACTNESS TO VOLTERRA EQUATIONS OF CONVOLUTION TYPE Article ISI SCOPUS JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS (2016)
Attractivity for functional Volterra integral equations of convolution type Álvarez, E.; Lizama, C. Article ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2016)
CESARO SUMS AND ALGEBRA HOMOMORPHISMS OF BOUNDED OPERATORS Article ISI SCOPUS ISRAEL JOURNAL OF MATHEMATICS (2016)
Dynamics of the solutions of the water hammer equations Conejero J.A.; Lizama, C.; Rodenas, F Article ISI SCOPUS TOPOLOGY AND ITS APPLICATIONS (2016)
EXISTENCE, REGULARITY AND REPRESENTATION OF SOLUTIONS OF TIME FRACTIONAL DIFFUSION EQUATIONS Keyantuo V.; Lizama, C.; Warma M. Article ISI SCOPUS ADVANCES IN DIFFERENTIAL EQUATIONS (2016)
On the compactness of fractional resolvent operator functions Lizama, C.; Pereira A.; Ponce, R Article ISI SCOPUS SEMIGROUP FORUM (2016)
On the existence of chaos for the viscous van Wijngaarden-Eringen equation Article ISI SCOPUS CHAOS SOLITONS & FRACTALS (2016)
SHARP EXTENSIONS AND ALGEBRAIC PROPERTIES FOR SOLUTION FAMILIES OF VECTOR-VALUED DIFFERENTIAL EQUATIONS Abadias, L; Lizama, C.; Miana, PJ Article ISI SCOPUS Banach Journal of Mathematical Analysis (2016)
WEIGHTED BOUNDED SOLUTIONS FOR A CLASS OF NONLINEAR FRACTIONAL EQUATIONS Article ISI SCOPUS Fractional Calculus and Applied Analysis (2016)
ABSTRACT VOLTERRA EQUATIONS WITH STATE-DEPENDENT DELAY Lizama, Carlos; Velasco, M. Pilar Article ISI SCOPUS Journal of Integral Equations and Applications (2015)
Chaotic behaviour of the solutions of the Moore-Gibson-Thompson equation Conejero J.A.; Lizama, C.; Rodenas, F Article SCOPUS Applied Mathematics and Information Sciences (2015)
Editorial asymptotic behavior of nonlinear evolution equations Ding H.-S.; Lizama, C.; Cuevas, C Article SCOPUS Abstract and Applied Analysis (2015)
l(p)-maximal regularity for fractional difference equations on UMD spaces Lizama, Carlos Article ISI SCOPUS Mathematische Nachrichten (2015)
On a connection between the discrete fractional Laplacian and superdiffusion Ciaurri, O; Lizama, C.; Roncal, L; Varona, JL Article ISI SCOPUS Applied Mathematics Letters (2015)
Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations Alvarez-Pardo, Edgardo; Lizama, Carlos Article ISI SCOPUS Applied Mathematics and Computation (2015)
Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces Álvarez, E.; Lizama, C. Article ISI SCOPUS Advances in Difference Equations (2015)
Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces Álvarez, E.; Lizama, C.; Ponce, R Article ISI SCOPUS Applied Mathematics and Computation (2015)
A connection between almost periodic functions defined on timescales and Double-struck capital R Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo Article ISI SCOPUS APPLICABLE ANALYSIS (2014)
MILD SOLUTIONS FOR MULTI-TERM TIME-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL INITIAL CONDITIONS Alvarez-Pardo, E; Lizama, C. Article ISI ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2014)
On the boundedness of generalized Cesaro operators on Sobolev spaces Lizama, Carlos; Miana, Pedro J.; Ponce, Rodrigo; Sánchez-Lajusticia, Luis Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2014)
Stochastic Volterra equations under perturbations Karczewska, A; Lizama, C. Article ISI SCOPUS ELECTRONIC COMMUNICATIONS IN PROBABILITY (2014)
Existence of S-asymptotically w-periodic solutions for two-times fractional order differential equations Lizama, C.; Cuevas, C. Article Southeast Asian Bulletin of Mathematics (2013)
Almost automorphic solutions of dynamic equations on time scales Lizama, C.; Mesquita, JG Article ISI SCOPUS Journal of Functional Analysis (2013)
Almost automorphic solutions of non-autonomous difference equations Lizama, C.; Mesquita, JG Article ISI SCOPUS Journal of Mathematical Analysis and Applications (2013)
ASYMPTOTIC BEHAVIOR OF FRACTIONAL-ORDER SEMILINEAR EVOLUTION EQUATIONS Keyantuo V.; Lizama, C.; Warma M. Article ISI SCOPUS Differential and Integral Equations (2013)
Asymptotic Periodicity for Strongly Damped Wave Equations Claudio Cuevas; Carlos, LIzama; Herme Soto Article ISI SCOPUS Abstract and Applied Analysis (2013)
Calcium (Ca2+) waves data calibration and analysis using image processing techniques Milovic C.; Oses, C; Villalón, M; Uribe, S.; Lizama, C.; Prieto C.; Irarrázaval P.; Tejos, C Article ISI SCOPUS BMC Bioinformatics (2013)
MAXIMAL REGULARITY FOR DEGENERATE DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN PERIODIC VECTOR-VALUED FUNCTION SPACES Lizama, C.; Ponce, R Article ISI SCOPUS Proceedings of the Edinburgh Mathematical Society (2013)
Mild solutions for abstract fractional differential equations Lizama, C.; N'Guerekata, GM Article ISI SCOPUS Applicable Analysis (2013)
On a Class of Non-Markovian Langevin Equations Lizama, C.; rebolledo r Article ISI SCOPUS Open Systems and Information Dynamics (2013)
PSEUDO ASYMPTOTIC SOLUTIONS OF FRACTIONAL ORDER SEMILINEAR EQUATIONS Alvarez-Pardo, E; Lizama, C. Article ISI SCOPUS Banach Journal of Mathematical Analysis (2013)
Regularity of mild solutions for a class of fractional order differential equations Lizama, C.; Poblete F. Article ISI SCOPUS APPLIED MATHEMATICS AND COMPUTATION (2013)
Some operators acting on weighted sequence spaces and applications Lizama, C. Article ISI SCOPUS Scientia Iranica (2013)
Spectral Criteria for Solvability of Boundary Value Problems and Positivity of Solutions of Time-Fractional Differential Equations Keyantuo V.; Lizama, C.; Warma M. Article ISI SCOPUS Abstract and Applied Analysis (2013)
Uniform stability of (a, k)-regularized families Lizama, C.; Miana, PJ; Poblete F. Article ISI SCOPUS ASYMPTOTIC ANALYSIS (2013)
Application of the fractional Fourier transform to image reconstruction in MRI Parot, V.; Sing-Long, C; Lizama, C.; Tejos, C; Uribe, S.; Irarrázaval P. Article ISI SCOPUS MAGNETIC RESONANCE IN MEDICINE (2012)
Existence of asymptotically almost automorphic solutions for a third order differential equation Araya D.; Lizama, C. Article ISI SCOPUS Electronic Journal of Qualitative Theory of Differential Equations (2012)
Existence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions Lizama, C.; Pozo J.C. Article ISI SCOPUS Abstract and Applied Analysis (2012)
Maximal Regularity for Perturbed Integral Equations on the Line Lizama, C.; Ponce, R Article ISI SCOPUS Integral Equations and Operator Theory (2012)
On a connection between powers of operators and fractional Cauchy problems Keyantuo V.; Lizama, C. Article ISI SCOPUS Journal of Evolution Equations (2012)
On a Functional Equation Associated with (a, k)-Regularized Resolvent Families Lizama, C.; Poblete F. Article ISI SCOPUS Abstract and Applied Analysis (2012)
On the existence of almost automorphic solutions of Volterra difference equations Cuevas, C; Henríquez H.R.; Lizama, C. Article ISI SCOPUS Journal of Difference Equations and Applications (2012)
Periodic solutions of abstract functional differential equations with infinite delay Henríquez H.R.; Lizama, C. Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2012)
Solutions of two-term time fractional order differential equations with nonlocal initial conditions Article ISI SCOPUS Electronic Journal of Qualitative Theory of Differential Equations (2012)
The complex inversion formula in UMD spaces for families of bounded operators Lizama, C. Article ISI SCOPUS Applicable Analysis (2012)
The Maximal Subspace for Generation of (a, k)-Regularized Families Alvarez-Pardo, E; Lizama, C. Article ISI SCOPUS Abstract and Applied Analysis (2012)
Existence of asymptotically almost periodic solutions for damped wave equations Carlos Lizama; Bruno de Andrade Article Journal of Mathematical Analysis and Applications (2011)
Periodic solutions of degenerate differential equations in vector-valued function spaces. Carlos Lizama; Rodrigo Ponce Article Studia Mathematica, (2011)
Regularity of solutions for a third order differential equation in Hilbert spaces. Carlos Lizama; Claudio Fernandez; Veronica Poblete Article Applied Mathematics and Computation (2011)
A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications Keyantuo V.; Lizama, C. Article ISI SCOPUS Mathematische Nachrichten (2011)
Almost automorphic solutions to abstract Volterra equations on the line Lizama, C.; Ponce, R Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2011)
An operator theoretical approach to a class of fractional order differential equations Lizama, C. Article ISI SCOPUS Applied Mathematics Letters (2011)
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces Lizama, C.; Ponce, R Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2011)
Existence of asymptotically almost periodic solutions for damped wave equations de Andrade B.; Lizama, C. Article ISI SCOPUS Journal of Mathematical Analysis and Applications (2011)
Periodic solutions of degenerate differential equations in vector-valued function spaces Lizama, C.; Ponce, R Article ISI SCOPUS Studia Mathematica (2011)
Periodic solutions of fractional differential equations with delay Lizama, C.; POBLETE, V Article ISI SCOPUS Journal of Evolution Equations (2011)
Regularity of solutions for a third order differential equation in Hilbert spaces Fernández, C.; Lizama, C.; POBLETE, V Article ISI SCOPUS Applied Mathematics and Computation (2011)
The fractional Fourier transform and quadratic field magnetic resonance imaging Irarrázaval P.; Lizama, C.; Parot, V.; Sing-Long, C; Tejos, C Article ISI SCOPUS Computers and Mathematics with Applications (2011)
Bounded mild solutions for semilinear integro-differential equations in Banach spaces Carlos Lizama; Gaston N'Guerekata Article Integral Equations and Operator Theory (2010)
Bounded mild solutions of perturbed Volterra equations with infinite delay Carlos Lizama; Sebastian Calzadillas Article Nonlinear Analysis, Series A, Theory Methods and Applications, (2010)
Cosine and Gaussian transforms Carlos Lizama; Rolando Rebolledo Article Communications on Stochastic Analysis, (2010)
Maximal regularity for flexible structural systems in Lebesgue spaces. Carlos Lizama; Claudio Fernandez; Veronica Poblete Article Mathematical Problems in Engineering, (2010)
Semilinear Evolution Equations on Discrete Time and Maximal Regularity. Carlos Lizama; Claudio Cuevas Article Journal of Mathematical Analysis and Applications (2010)
Solutions to stochastic fractional oscillation equations Carlos Lizama; Anna Karczewska Article Applied Math. Letters (2010)
Well posedness of second order evolution equation on discrete time. Carlos Lizama; Airton Castro; Claudio Cuevas Article Journal of Difference Equations and Applications (2010)
A Landau-Kolmogorov inequality for generators of families of bounded operators Lizama, C. Article SCOPUS Journal of Mathematical Analysis and Applications (2010)
Bounded Mild Solutions for Semilinear Integro Differential Equations in Banach Spaces Lizama, C.; N'Guerekata, GM Article ISI SCOPUS Integral Equations and Operator Theory (2010)
Bounded mild solutions of perturbed Volterra equations with infinite delay Calzadillas, S; Lizama, C. Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2010)
Fractional relaxation equations on Banach spaces Lizama, C.; Prado, H Article ISI SCOPUS Applied Mathematics Letters (2010)
Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces Fernández, C.; Lizama, C.; POBLETE, V Article ISI SCOPUS Mathematical Problems in Engineering (2010)
S-asymptotically omega-periodic solutions for semilinear Volterra equations Cuevas, C; Lizama, C. Article ISI SCOPUS Mathematical Methods in the Applied Sciences (2010)
Semilinear evolution equations on discrete time and maximal regularity Cuevas, C; Lizama, C. Article ISI SCOPUS Journal of Mathematical Analysis and Applications (2010)
Solutions to stochastic fractional oscillation equations Karczewska, A; Lizama, C. Article ISI SCOPUS Applied Mathematics Letters (2010)
Well-posedness of second order evolution equation on discrete time Castro A.; Cuevas, C; Lizama, C. Article ISI SCOPUS Journal of Difference Equations and Applications (2010)
Algebra homomorphisms defined via convoluted semigroups and cosine functions. Carlos Lizama; Valentin Keyantuo; Mahamadi Warma Article Journal of Functional Analysis (2009)
Almost automorphic solutions of difference equations Carlos Lizama; Daniela Araya; Rodrigo Castro Article Advances in Difference Equations (2009)
Almost automorphic solutions to integral equations on the line Carlos Lizama; Claudio Cuevas Article Semigroup Forum (2009)
Compact almost automorphic solutions to integral equations with infinite delay Carlos Lizama; Hernan Henriquez Article Nonlinear Analysis, Series A, Theory Methods and Applications (2009)
Maximal regularity of the discrete harmonic oscillator equation Carlos Lizama; Airton Castro; Claudio Cuevas Article Advances in Difference Equations (2009)
Solutions to stochastic fractional relaxation equations. Carlos Lizama; Anna Karczewska Article Physica Scripta T, (2009)
Strong Solutions to Stochastic Volterra Equations Carlos Lizama; Anna Karczewska Article J. Math. Anal. Appl. (2009)
Algebra homomorphisms defined via convoluted semigroups and cosine functions Keyantuo V.; Lizama, C.; Miana, PJ Article ISI SCOPUS JOURNAL OF FUNCTIONAL ANALYSIS (2009)
Almost Automorphic Solutions of Difference Equations Araya D.; Castro, R.; Lizama, C. Article ISI SCOPUS Advances in Difference Equations (2009)
Almost automorphic solutions to integral equations on the line Cuevas, C; Lizama, C. Article ISI SCOPUS SEMIGROUP FORUM (2009)
Compact almost automorphic solutions to integral equations with infinite delay Lizama, C. Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2009)
Maximal Regularity of the Discrete Harmonic Oscillator Equation Castro A.; Cuevas, C; Lizama, C. Article ISI SCOPUS Advances in Difference Equations (2009)
On duality and spectral properties of (a, k)-regularized resolvents Lizama, C.; Prado, H Article ISI SCOPUS PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2009)
Periodic solutions of integro-differential equations in vector-valued function spaces Keyantuo V.; Lizama, C.; POBLETE, V Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2009)
Solutions to stochastic fractional relaxation equations Karczewska, A; Lizama, C. Article ISI PHYSICA SCRIPTA (2009)
Strong solutions to stochastic Volterra equations Karczewska, A; Lizama, C. Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2009)
Well Posedness for a Class of Flexible Structure in Holder Spaces Cuevas, C; Lizama, C. Article ISI SCOPUS MATHEMATICAL PROBLEMS IN ENGINEERING (2009)
Almost automorphic mild solutions to fractional differential equations Araya D.; Lizama, C. Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2008)
Almost automorphic solutions to a class of semilinear fractional differential equations Cuevas, C; Lizama, C. Article ISI SCOPUS APPLIED MATHEMATICS LETTERS (2008)
Maximal regularity for perturbed integral equations on periodic Lebesgue spaces Lizama, C.; POBLETE, V Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2008)
Semilinear evolution equations of second order via maximal regularity Cuevas, C; Lizama, C. Article ISI SCOPUS Advances in Difference Equations (2008)
On stochastic fractional Volterra equations in Hilbert space Lizama, Carlos; Karczewska, Anna Article Discrete Cont. Dyn. Sys. Series A (2007)
Maximal regularity of discrete second order Cauchy problems in Banach spaces Cuevas, C; Lizama, C. Article ISI SCOPUS JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2007)
On multiplicative perturbation of integral resolvent families Lizama, C.; POBLETE, V Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2007)
Regularity of solutions to stochastic Volterra equations with infinite delay Karczewska, A; Lizama, C. Article ISI SCOPUS PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2007)
Stochastic Volterra equations driven by cylindrical Wiener process Karczewska, A; Lizama, C. Article ISI SCOPUS JOURNAL OF EVOLUTION EQUATIONS (2007)
Fourier multipliers and periodic solutions of delay equations in Banach spaces Lizama, C. Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2006)
Holder continuous solutions for integro-differential equations and maximal regularity Keyantuo V.; Lizama, C. Article ISI SCOPUS JOURNAL OF DIFFERENTIAL EQUATIONS (2006)
Maximal regularity of delay equations in Banach spaces Lizama, C.; POBLETE, V Article ISI SCOPUS STUDIA MATHEMATICA (2006)
Periodic solutions of second order differential equations in Banach spaces Keyantuo V.; Lizama, C. Article ISI SCOPUS MATHEMATISCHE ZEITSCHRIFT (2006)
Singular perturbation for Volterra equations of convolution type Lizama, C.; Prado, H Article ISI SCOPUS APPLIED MATHEMATICS AND COMPUTATION (2006)
Singular perturbations of integro-differential equations Lizama, C.; Prado, H Article ISI SCOPUS APPLIED MATHEMATICS AND COMPUTATION (2006)
Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces Keyantuo V.; Lizama, C. Article ISI SCOPUS STUDIA MATHEMATICA (2005)
Fourier multipliers and integro-differential equations in Banach spaces Keyantuo V.; Lizama, C. Article ISI SCOPUS JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2004)
Uniform stability of resolvent families Lizama, C.; Vergara V. Article ISI PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2004)
On perturbation of k-regularized resolvent families Lizama, C.; SÃ¡nchez J. Article ISI SCOPUS TAIWANESE JOURNAL OF MATHEMATICS (2003)
On the inversion of the Laplace transform for resolvent families in UMD spaces Cioranescu, I; Lizama, C. Article ISI SCOPUS ARCHIV DER MATHEMATIK (2003)
Rates of approximation and ergodic limits of regularized operator families Lizama, C.; Prado, H Article ISI SCOPUS JOURNAL OF APPROXIMATION THEORY (2003)
On approximation and representation of K-regularized resolvent families Lizama, C. Article ISI INTEGRAL EQUATIONS AND OPERATOR THEORY (2001)
Regularized solutions for abstract Volterra equations Lizama, C. Article ISI SCOPUS JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2000)
The vector-valued Stieltjes transform Lizama, C.; Prado, H Article QUARTERLY JOURNAL OF MATHEMATICS (1999)
A characterization of uniform continuity for volterra equations in hilbert spaces Lizama, C. Article PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (1998)
Some applications of fejer's theorem to operator cosine functions in danach spaces Cioranescu, I; Lizama, C. Article PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (1997)


Regularity of difference equations on banach spaces Cuevas, C; Lizama, C. BookWhole SCOPUS Regularity of Difference Equations on Banach Spaces (2014)


Editorial: Modern Fractional Dynamic Systems and Applications, MFDSA 2017 Debbouche, A EditorialMaterial ISI SCOPUS JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2018)


Almost automorphic solutions of dynamic equations on time scales (vol 265, pg 2267, 2013) Lizama, C.; Mesquita, JG Errata ISI JOURNAL OF FUNCTIONAL ANALYSIS (2015)


Nonlocal Operators and Evolution Equations: New Challenges and Perspectives Lizama, Carlos Proyecto (2022)
Abstract Evolution Equations: New Challenges in Theory and Applications Lizama, Carlos Proyecto (2018)
Magnetic resonance imaging technology for aging related diseases=> brain, heart and vessels. PIA (ACT1416) Proyecto 2015-2018 Coinvestigador(a)
FAMILIES OF BOUNDED AND LINEAR OPERATORS IN BANACH SPACES AND APPLICATIONS TO EVOLUTION EQUATIONS FONDECYT (1140258) Proyecto 2014-2018 Inv. Responsable
Families of bounded and linear operators in Banach spaces and applications to evolution equations Carlos, LIzama Proyecto (2014)
Tecnología de imágenes por resonancia magnética para enfermedades asociadas a la vejez: Cerebro, Corazón y Vasos Carlos, LIzama Proyecto (2014)
Red de Analisis Estocastico y Aplicaciones PIA (ACT1112) Proyecto 2012-2015 Inv. Principal
Red de análisis estocástico y aplicaciones (sistemas abiertos, energía y dinámica de la información) Rolando Rebolledo; Carlos, LIzama Proyecto (2011)
REGULARITY PROPERTIES OF EVOLUTION EQUATIONS IN BANACH SPACES FONDECYT (1110090) Proyecto 2011-2015 Coinvestigador(a)
Analysis of Continuous, Discrete and Stochastic Evolution Equations in Banach Spaces. FONDECYT (1100485) Proyecto 2010-2014 Inv. Principal
Analysis Of Continuous, Discrete And Stochastic Evolution Equations In Banach Spaces Carlos, LIzama Proyecto (2010)
Biomedical Imaging in obesity=> from cellular mechanisms to clinical applications PIA (ACT79) Proyecto 2010-2013 Coinvestigador(a)
THE LONG TIME BEHAVIOR OF SOLUTIONS TO FRACTIONAL EVOLUTION EQUATIONS. FONDECYT (1070127) Proyecto 2007-2011 Coinvestigador(a)
LABORATORIO DE ANÁLISIS ESTOCÁSTICO (ANESTOC). PIA (ADI13) Proyecto 2006-2009 Inv. Principal
Laboratorio de Análisis Estocástico (ANESTOC) Rolando Rebolledo; Carlos, LIzama Proyecto (2006)
Maximal regularity for evolution equations in Banach spaces and applications Carlos, LIzama Proyecto (2005)
MAXIMAL REGULARITY FOR EVOLUTION EQUATIONS IN BANACH SPACES AND APPLICATIONS FONDECYT (7050008) Proyecto 2005-2006 Inv. Responsable
ON THE ASYMPTOTIC BEHAVIOR OF OPERATOR FAMILIES ASSOCIATED TO LINEAR EVOLUTION EQUATIONS FONDECYT (1030007) Proyecto 2003-2007 Coinvestigador(a)
MAXIMAL REGULARITY FOR LINEAR EVOLUTIONARY INTEGRAL EQUATIONS IN SPACES OF VECTOR-VALUED FUNCTIONS FONDECYT (1010675) Proyecto 2001-2005 Inv. Responsable
SPECTRAL PROPERTIES FOR SUBELLIPTIC AND SUBCOERCIVE OPERATORS ON Lp SPACES FONDECYT (1000811) Proyecto 2000-2003 Coinvestigador(a)
REGULARIZED SOLUTIONS FOR ABSTRACT VOLTERRA EQUATIONS IN BANACH SPACES FONDECYT (1980812) Proyecto 1998-2001 Inv. Responsable
ESTIMACIONES EN NORMA PARA DINAMICAS GENERALIZADAS Y TEORIA ESPECTRAL DE OPERADORES FONDECYT (1970722) Proyecto 1997-2000 Coinvestigador(a)
ECUACIONES DE EVOLUCION Y APLICACIONES FONDECYT (1930066) Proyecto 1993-1996 Inv. Responsable
PROPIEDADES DE ESTABILIDAD DE SISTEMAS EN ESPACIOS ABSTRACTOS FONDECYT (1910471) Proyecto 1991-1994 Coinvestigador(a)
SEMIGRUPOS DE OPERADORES Y SISTEMAS DE CONTROL. FONDECYT (1861432) Proyecto 1986-1987 Coinvestigador(a)