Man

Rodrigo Eduardo Ponce Cubillos

Assistant Professor

UNIVERSIDAD DE TALCA

Talca, Chile

Líneas de Investigación


Functional Analysis. Evolution equations, operator theory

Educación

  •  Profesor de Estado en Matemática, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 2006
  •  Doctor en Matemática, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 2011
  •  Matemática, UNIVERSIDAD DE SANTIAGO DE CHILE. Chile, 2006

Experiencia Académica

  •   Assistant professor Full Time

    UNIVERSIDAD DE TALCA

    Talca, Chile

    2012 - At present

Experiencia Profesional

  •   Assitant Professor Full Time

    Universidad de Talca

    Talca, Chile

    2012 - At present

Formación de Capital Humano


Phd Student, Aldo Pereira, Universidad de Talca, PhD in Mathematics-2017.
Master Student, Silvia Rueda, Universidad de Talca, Magíster en Matemática, 2017.

Participación en programas de Formación y perfeccionamiento de Profesores de Matemática a nivel de pre y post grado (a partir del año 2014).
Participación en comisiones evaluadoras de Tesis de Magíster en Didáctica de la Matemática, Universidad Católica del Maule (en los años 2016-2017).



 

Article (36)

Asymptotic behavior and representation of solutions to a Volterra kind of equation with a singular kernel
Discrete subdiffusion equations with memory
Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces
Mild solutions for a multi-term fractional differential equation via resolvent operators
Well-Posedness of second order differential equations with memory
Asymptotic behavior of mild solutions to fractional Cauchy problems in Banach spaces
Mild solutions to integro-differential equations in Banach spaces
Subordination Principle for fractional diffusion of Sobolev type
Subordination Principle for subdiffusion equations with memory
Time discretization of fractional subdiffusion equations via fractional resolvent operators
Existence and Optimal Controls for Fractional Stochastic Evolution Equations of Sobolev Type Via Fractional Resolvent Operators
Fractional differential equations of Sobolev type with sectorial operators
Sobolev type time fractional differential equations and optimal controls with the order in (1,2)
Discrete-time theorems for global and pointwise dichotomies of cocycles over semiflows
Existence and optimal controls for fractional stochastic evolution equations of Sobolev type via fractional resolvent operators
Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces
Well-posedness, regularity, and asymptotic behavior of continuous and discrete solutions of linear fractional integro-differential equations with time-dependent order
Almost automorphic solutions of Volterra equations on time scales
APPROXIMATE CONTROLLABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS OF SOBOLEV TYPE VIA PROPERTIES ON RESOLVENT OPERATORS
Maximal L-p-regularity for fractional differential equations on the line
ON THE WELL-POSEDNESS OF DEGENERATE FRACTIONAL DIFFERENTIAL EQUATIONS IN VECTOR VALUED FUNCTION SPACES
Existence of Mild Solutions to Nonlocal Fractional Cauchy Problems via Compactness
On the compactness of fractional resolvent operator functions
Weighted pseudo almost automorphic solutions to a semilinear fractional differential equation with Stepanov-like weighted pseudo almost automorphic nonlinear term
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
Holder continuous solutions for Sobolev type differential equations
On C-alpha-Holder classical solutions for non-autonomous neutral differential equations: The nonlinear case
On the boundedness of generalized Cesaro operators on Sobolev spaces
Bounded mild solutions to fractional integro-differential equations in Banach spaces
Holder continuous solutions for fractional differential equations and maximal regularity
MAXIMAL REGULARITY FOR DEGENERATE DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN PERIODIC VECTOR-VALUED FUNCTION SPACES
Maximal Regularity for Perturbed Integral Equations on the Line
Almost automorphic solutions to abstract Volterra equations on the line
Bounded solutions to a class of semilinear integro-differential equations in Banach spaces
Periodic solutions of degenerate differential equations in vector-valued function spaces

BookWhole (1)

Bloch-Type Periodic Functions: Theory and Their Applications to Evolution Equations

ConferencePaper (1)

Solutions of abstract integro-differential equations via Poisson transformation

Proyecto (5)

Modalidad Estadías Cortas (MEC)
STABILITY OF RESOLVENT FAMILIES AND APPLICATIONS
Stochastic Analysis Research Network
Lattices and symmetry (postdoctoral position)
MAXIMAL REGULARITY FOR EVOLUTION EQUATIONS IN BANACH SPACES AND APPLICATIONS
39
Rodrigo Ponce

Assistant Professor

UNIVERSIDAD DE TALCA

Talca, Chile

15
Carlos Lizama

Full Professor

Matematica y Ciencia de la Computación

UNIVERSIDAD DE SANTIAGO DE CHILE

Santiago, Chile

1
Eduardo Hernandez

Full Professor

Universidade de São Paulo

Ribeirão Preto, Brasil