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Carlos Lizama

Full Professor

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

Líneas de Investigación


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

Educación

  •  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

Experiencia Académica

  •   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

Experiencia Profesional

  •   Academic Full Time

    University of Santiago de Chile

    Chile

    1985 - A la fecha

Formación de Capital Humano


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. 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.

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

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

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

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

6. 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.

7. 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 di erential and di erence equations (spanish), M. Sc.
Mathematics, USACH, 2010.

4. S. Calzadillas, Bounded mild solutions of perturbed Volterra equations with in nite 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.


Premios y Distinciones

  •   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.


 

Article (140)

Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics
On the existence and uniqueness of (N, lambda)-periodic solutions to a class of Volterra difference equations
ON WELL-POSEDNESS OF VECTOR-VALUED FRACTIONAL DIFFERENTIAL-DIFFERENCE EQUATIONS
Well-posedness for degenerate third order equations with delay and applications to inverse problems
A characterization of well-posedness for abstract Cauchy problems with finite delay
A Semigroup Approach to Fractional Poisson Processes
Estimation of the light field inside photosynthetic microorganism cultures through Mittag-Leffler functions at depleted light conditions
HOLDER REGULARITY FOR THE MOORE-GIBSON-THOMPSON EQUATION WITH INFINITE DELAY
HOLDER-LEBESGUE REGULARITY AND ALMOST PERIODICITY FOR SEMIDISCRETE EQUATIONS WITH A FRACTIONAL LAPLACIAN
Lebesgue regularity for differential difference equations with fractional damping
LEBESGUE REGULARITY FOR NONLOCAL TIME-DISCRETE EQUATIONS WITH DELAYS
Nonlocal Integrated Solutions for a Class of Abstract Evolution Equations
Regularity properties of mild solutions for a class of volterra equations with critical nonlinearities
Well posedness for semidiscrete fractional Cauchy problems with finite delay
Chaotic semigroups from second order partial differential equations
l(p)-MAXIMAL REGULARITY FOR A CLASS OF FRACTIONAL DIFFERENCE EQUATIONS ON UMD SPACES: THE CASE 1 < alpha <= 2
Linear dynamics of semigroups generated by differential operators
Maximal regularity in l(p) spaces for discrete time fractional shifted equations
On the exponential stability of Samuelson model on some classes of times scales
Regularity properties of mild solutions for a class of abstract Volterra equation with critical nonlinearities
THE POISSON DISTRIBUTION, ABSTRACT FRACTIONAL DIFFERENCE EQUATIONS, AND STABILITY
Almost automorphic mild solutions to fractional partial difference-differential equations
Almost automorphic solutions of Volterra equations on time scales.
APPLICATION OF MEASURE OF NONCOMPACTNESS TO VOLTERRA EQUATIONS OF CONVOLUTION TYPE
Attractivity for functional Volterra integral equations of convolution type
CESARO SUMS AND ALGEBRA HOMOMORPHISMS OF BOUNDED OPERATORS
Dynamics of the solutions of the water hammer equations
Existence, regularity and representation of solutions of time fractional diffusion equations
On the compactness of fractional resolvent operator functions
On the existence of chaos for the viscous van Wijngaarden-Eringen equation
SHARP EXTENSIONS AND ALGEBRAIC PROPERTIES FOR SOLUTION FAMILIES OF VECTOR-VALUED DIFFERENTIAL EQUATIONS
WEIGHTED BOUNDED SOLUTIONS FOR A CLASS OF NONLINEAR FRACTIONAL EQUATIONS
ABSTRACT VOLTERRA EQUATIONS WITH STATE-DEPENDENT DELAY
Chaotic behaviour of the solutions of the Moore-Gibson-Thompson equation
Editorial asymptotic behavior of nonlinear evolution equations
l(p)-maximal regularity for fractional difference equations on UMD spaces
On a connection between the discrete fractional Laplacian and superdiffusion
Weighted pseudo almost automorphic mild solutions for two-term fractional order differential equations
Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces
Weighted pseudo antiperiodic solutions for fractional integro-differential equations in Banach spaces
A connection between almost periodic functions defined on timescales and Double-struck capital R
MILD SOLUTIONS FOR MULTI-TERM TIME-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL INITIAL CONDITIONS
On the boundedness of generalized Cesaro operators on Sobolev spaces
Stochastic Volterra equations under perturbations
Existence of S-asymptotically w-periodic solutions for two-times fractional order differential equations
Almost automorphic solutions of dynamic equations on time scales
Almost automorphic solutions of non-autonomous difference equations
ASYMPTOTIC BEHAVIOR OF FRACTIONAL-ORDER SEMILINEAR EVOLUTION EQUATIONS
Asymptotic Periodicity for Strongly Damped Wave Equations
Calcium (Ca2+) waves data calibration and analysis using image processing techniques
MAXIMAL REGULARITY FOR DEGENERATE DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN PERIODIC VECTOR-VALUED FUNCTION SPACES
Mild solutions for abstract fractional differential equations
On a Class of Non-Markovian Langevin Equations
PSEUDO ASYMPTOTIC SOLUTIONS OF FRACTIONAL ORDER SEMILINEAR EQUATIONS
Regularity of mild solutions for a class of fractional order differential equations
Some operators acting on weighted sequence spaces and applications
Spectral Criteria for Solvability of Boundary Value Problems and Positivity of Solutions of Time-Fractional Differential Equations
Uniform stability of (a, k)-regularized families
Application of the fractional Fourier transform to image reconstruction in MRI
Existence of asymptotically almost automorphic solutions for a third order differential equation
Existence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions
Maximal Regularity for Perturbed Integral Equations on the Line
On a connection between powers of operators and fractional Cauchy problems
On a Functional Equation Associated with (a, k)-Regularized Resolvent Families
On the existence of almost automorphic solutions of Volterra difference equations
Periodic solutions of abstract functional differential equations with infinite delay
Solutions of two-term time fractional order differential equations with nonlocal initial conditions
The complex inversion formula in UMD spaces for families of bounded operators
The Maximal Subspace for Generation of (a, k)-Regularized Families
Existence of asymptotically almost periodic solutions for damped wave equations
Periodic solutions of degenerate differential equations in vector-valued function spaces.
Regularity of solutions for a third order differential equation in Hilbert spaces.
A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications
Almost automorphic solutions to abstract Volterra equations on the line
An operator theoretical approach to a class of fractional order differential equations
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces
Existence of asymptotically almost periodic solutions for damped wave equations
Periodic solutions of degenerate differential equations in vector-valued function spaces
Periodic solutions of fractional differential equations with delay
Regularity of solutions for a third order differential equation in Hilbert spaces
The fractional Fourier transform and quadratic field magnetic resonance imaging
Bounded mild solutions for semilinear integro-differential equations in Banach spaces
Bounded mild solutions of perturbed Volterra equations with infinite delay
Cosine and Gaussian transforms
Maximal regularity for flexible structural systems in Lebesgue spaces.
Semilinear Evolution Equations on Discrete Time and Maximal Regularity.
Solutions to stochastic fractional oscillation equations
Well posedness of second order evolution equation on discrete time.
A Landau-Kolmogorov inequality for generators of families of bounded operators
Bounded Mild Solutions for Semilinear Integro Differential Equations in Banach Spaces
Bounded mild solutions of perturbed Volterra equations with infinite delay
Fractional relaxation equations on Banach spaces
Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces
S-asymptotically omega-periodic solutions for semilinear Volterra equations
Semilinear evolution equations on discrete time and maximal regularity
Solutions to stochastic fractional oscillation equations
Well-posedness of second order evolution equation on discrete time
Algebra homomorphisms defined via convoluted semigroups and cosine functions.
Almost automorphic solutions of difference equations
Almost automorphic solutions to integral equations on the line
Compact almost automorphic solutions to integral equations with infinite delay
Maximal regularity of the discrete harmonic oscillator equation
Solutions to stochastic fractional relaxation equations.
Strong Solutions to Stochastic Volterra Equations
Algebra homomorphisms defined via convoluted semigroups and cosine functions
Almost Automorphic Solutions of Difference Equations
Almost automorphic solutions to integral equations on the line
Compact almost automorphic solutions to integral equations with infinite delay
Maximal Regularity of the Discrete Harmonic Oscillator Equation
On duality and spectral properties of (a, k)-regularized resolvents
Periodic solutions of integro-differential equations in vector-valued function spaces
Solutions to stochastic fractional relaxation equations
Strong solutions to stochastic Volterra equations
Well Posedness for a Class of Flexible Structure in Holder Spaces
Almost automorphic mild solutions to fractional differential equations
Almost automorphic solutions to a class of semilinear fractional differential equations
Maximal regularity for perturbed integral equations on periodic Lebesgue spaces
Semilinear evolution equations of second order via maximal regularity
On stochastic fractional Volterra equations in Hilbert space
Maximal regularity of discrete second order Cauchy problems in Banach spaces
On multiplicative perturbation of integral resolvent families
Regularity of solutions to stochastic Volterra equations with infinite delay
Stochastic Volterra equations driven by cylindrical Wiener process
Fourier multipliers and periodic solutions of delay equations in Banach spaces
Holder continuous solutions for integro-differential equations and maximal regularity
Maximal regularity of delay equations in Banach spaces
Periodic solutions of second order differential equations in Banach spaces
Singular perturbation for Volterra equations of convolution type
Singular perturbations of integro-differential equations
Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces
Fourier multipliers and integro-differential equations in Banach spaces
Uniform stability of resolvent families
On perturbation of k-regularized resolvent families
On the inversion of the Laplace transform for resolvent families in UMD spaces
Rates of approximation and ergodic limits of regularized operator families
On approximation and representation of K-regularized resolvent families
Regularized solutions for abstract Volterra equations
The vector-valued Stieltjes transform
A characterization of uniform continuity for volterra equations in hilbert spaces
Some applications of fejer's theorem to operator cosine functions in danach spaces

BookWhole (1)

Regularity of difference equations on banach spaces

EditorialMaterial (1)

Editorial: Modern Fractional Dynamic Systems and Applications, MFDSA 2017

Errata (1)

Almost automorphic solutions of dynamic equations on time scales (vol 265, pg 2267, 2013)

Proyecto (7)

Abstract Evolution Equations: New Challenges in Theory and Applications
Families of bounded and linear operators in Banach spaces and applications to evolution equations
Tecnología de imágenes por resonancia magnética para enfermedades asociadas a la vejez: Cerebro, Corazón y Vasos
Red de análisis estocástico y aplicaciones (sistemas abiertos, energía y dinámica de la información)
Analysis Of Continuous, Discrete And Stochastic Evolution Equations In Banach Spaces
Laboratorio de Análisis Estocástico (ANESTOC)
Maximal regularity for evolution equations in Banach spaces and applications
190
Carlos Lizama

Full Professor

Matematica y Ciencia de la Computación

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

13
Humberto Prado

Full Professor

Mathemnatics and Computer Sciences

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

12
Claudio Cuevas

associated professor

Mathematics

Universidade Federal de Pernambuco

Recife, Brasil

12
Rodrigo Ponce

Assistant Professor

UNIVERSIDAD DE TALCA

Talca, Chile

7
Verónica Poblete

Profesor Asociado

Matematicas

UNIVERSIDAD DE CHILE

Santiago, Chile

4
Pablo Irarrazaval

Professor

Electrical Engineering

Pontificia Universidad Católica de Chile

Santiago, Chile

3
Cristian Tejos

Professor

Department of Electrical Engineering

Pontificia Universidad Catolica de Chile

Santiago, Chile

3
HERNAN HENRIQUEZ

Full professor

Matematica

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

2
Vicente Parot

Profesor Asistente

Instituto de Ingeniería Biológica y Médica

Pontificia Universidad Católica de Chile

Santiago, Chile

2
Sergio Uribe

Associated professor

Radiology

PONTIFICIA UNIVERSIDAD CATÓLICA

Santiago, Chile

2
Claudio Leal

Profesor Part-Time (Adjunto I)

Matemática y Ciencia de la Computación

Universidad de Santiago de Chile

Santiago, Chile

2
Rolando Rebolledo

Full Professor

Universidad de Valparaíso/Facultad de Ingeniería

Valparaíso, Chile

1
Marcelo Andia

Associate Professor

Radiology

Pontificia Universidad Catolica de Chile

Santiago, Chile

1
Claudia Prieto

Associate Professor

Electrical Engineering

Pontificia Universidad Catolica de Chile

Santiago, Chile

1
Juan Pozo

Academic

Mathematics

Universidad de Chile

Santiago, Chile

1
Bruno de Andrade

Universidade Federal de Sergipe

São Cristóvão, Brasil

1
Herme Soto

Academico, Asociado

Matemática y estadística

Universidad de la Frontera

Temuco, Chile

1
Vicente Vergara

UNIVERSIDAD DE TARAPACA, INSTITUTO DE ALTA INVESTIGACION

Arica, Chile

1
Sebastian Zamorano

Profesor Asistente

Departamento de Matemática y Ciencia de la Computación

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

1
Felipe Poblete

Profesor Asistente

Facultad de Ciencias

Universidad Austral de Chile

Valdivia, Chile

1
Carlos Milovic

Profesor Asociado

Escuela de Ingenieria Electrica

Pontificia Universidad Católica de Valparaíso

Valparaiso, Chile