- Teléfono: +56 227181903
- Oficina: 518
- Correo: carlos.lizama@usach.cl
- Jerarquía: Titular
- Títulos y/o Grados:
- Licenciado en Matemática, Universidad de Santiago de Chile, Santiago, Chile, 1985
- Magister en Ciencias, Universidad de Santiago de Chile, Santiago, Chile, 1987
- Dr. rer. nat., Universität Stuttgart, Alemania, 1990
- Identificadores:
Publicaciones recientes:
- Carlos Lizama, Mahamadi Warma. The Semi-Discrete Diffusion Convection Equation With Decay. APPLIED MATHEMATICS LETTERS, 2024.
- Carlos Lizama, Marina Murillo-Arcila. On Semidiscrete Models Dominated By The Heat, Wave And Laplace Equations. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024.
- Christopher Goodrich, Carlos Lizama. An Unexpected Property Of Fractional Difference Operators: Finite And Eventual Monotonicity. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024.
- Conejero J. Alberto, Garibo-i-Orts Òscar, Lizama, Carlos. A New Paradigm In The Logistic And Similar Maps: Time Stepping Schemes. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2024.
- Edgardo Alvarez, Carlos Lizama. A Characterization Of Lp-Maximal Regularity For Time-Fractional Systems In Umd Spaces And Applications. JOURNAL OF DIFFERENTIAL EQUATIONS, 2024.
- Lizama Carlos, Murillo-Arcila Marina. The Semidiscrete Damped Wave Equation With A Fractional Laplacian. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023.
- Edgardo Alvarez , Carlos Lizama, Marina Murillo-Arcila. Strongly Lp Well-Posedness For Abstract Time-Fractional Moore-Gibson-Thompson Type Equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 2023.
- J. Alberto Conejero, Òscar Garibo-i-Orts, Carlos Lizama. Recovering Discrete Delayed Fractional Equations From Trajectories. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023.
- Abadias Luciano, Galé José E., Lizama Carlos. Poisson Equation And Discrete One-Sided Hilbert Transform For (C, Alpha)-Bounded Operators. ISRAEL JOURNAL OF MATHEMATICS, 2023.
- Carlos Lizama, Marina Murillo-Arcila. Periodic Solutions For The Blackstock-Crighton-Westervelt Equation. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023.
- Carlos Lizama, Marina Murillo-Arcila. On The Existence Of Chaos For The Fourth-Order Moore-Gibson-Thompson Equation. CHAOS SOLITONS & FRACTALS, 2023.
- Carlos Lizama, Marina Murillo-Arcila. On The Dynamics Of The Damped Extensible Beam 1D-Equation. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023.
- Conejero J. Alberto, Garibo-i-Orts Òscar, Lizama Carlos. Inferring The Fractional Nature Of Wu Baleanu Trajectories. NONLINEAR DYNAMICS, 2023.
- Aparicio Rafael, Keyantuo Valentin, Lizama Carlos. A Characterization Of Uniform Well Posedness For Degenerate Second-Order Abstract Differential Equations. RESULTS IN MATHEMATICS, 2023.
- Bravo Jennifer, Lizama Carlos. The Abstract Cauchy Problem With Caputo-Fabrizio Fractional Derivative. Mathematics, 2022.
- Carlos Lizama, Rodrigo Ponce. Time Discretization And Convergence To Superdiffusion Equations Via Poisson Distribution. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022.
- Edgardo Alvarez, Carlos Lizama. Singular Perturbation And Initial Layer For The Abstract Moore-Gibson-Thompson Equation. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022.
- Jennifer Bravo, Carlos Lizama, Silvia Rueda. Qualitative Properties Of Nonlocal Discrete Operators. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022.
- Carlos Lizama, Marina Murillo-Arcila. Maximal Regularity For Time-Stepping Schemes Arising From Convolution Quadrature Of Non-Local In Time Equations. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022.
- Lizama Carlos, Murillo-Arcila Marina, Trujillo Macarena. Fractional Beer-Lambert Law In Laser Heating Of Biological Tissue. AIMS Mathematics, 2022.
- Lizama Carlos, Warma Mahamadi, Zamorano Sebastián. Exterior Controllability Properties For A Fractional Moore-Gibson-Thompson Equation. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2022.
- Alvarez Edgardo, Díaz Stiven, Lizama Carlos. Existence of (N, lambda)-Periodic Solutions for Abstract Fractional Difference Equations. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022.
- Christopher Goodrich, Carlos Lizama. Existence And Monotonicity Of Nonlocal Boundary Value Problems: The One-Dimensional Case. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022.
- Alvarez Edgardo, DÍaz Stiven, Lizama, Carlos. C-Semigroups, Subordination Principle And The Levy Alpha-Stable Distribution On Discrete Time. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022.
- Lizama Carlos, Zamorano Sebastian. Boundary Controllability For The 1D Moore-Gibson-Thompson Equation. MECCANICA, 2022.
- Carlos Lizama, Marina Murillo-Arcila. On A Connection Between The N-Dimensional Fractional Laplacian And 1-D Operators On Lattices. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022.
- Gambera Laura R., Lizama Carlos, Prokopczyk Andréa. Well-Posedness For The Abstract Blackstock-Crighton-Westervelt Equation. JOURNAL OF EVOLUTION EQUATIONS, 2021.
- Lizama Carlos, Murillo Marina. Well-Posedness For A Fourth-Order Equation Of Moore-Gibson-Thompson Type. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021.
- Alvarez Edgardo, Grau Rogelio, Lizama Carlos, Mesquita Jaqueline G.. Volterra-Stieltjes Integral Equations And Impulsive Volterra-Stieltjes Integral Equations. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021.
- Carlos Lizama, Rodrigo Ponce, Solutions Of Abstract Integro-Differential Equations Via Poisson Transformation. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021.
- Bravo Jennifer, Lizama Carlos, Rueda Silvia. Second And Third Order Forward Difference Operator: What Is In Between?. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021.
- Wu Guo-Cheng, Abdeljawad Thabet, Atici Ferhan, Lizama Carlos. Special Issue On Discrete Fractional Calculus With Applications: Overview And Some New Directions. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021.
- Bravo Jennifer, Lizama Carlos. Normal Periodic Solutions For The Fractional Abstract Cauchy Problem. BOUNDARY VALUE PROBLEMS, 2021.
- González-Camus Jorge, Lizama Carlos, Miana Pedro J.. Fundamental Solutions For Semidiscrete Evolution Equations Via Banach Algebras. ADVANCES IN DIFFERENCE EQUATIONS, 2021.
- Lizama C., Trujillo M.. The Time Fractional Approach For The Modeling Of Thermal Therapies: Temperature Analysis In Laser Irradiation. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2020.
- Alvarez Edgardo, Lizama Carlos. The Super-Diffusive Singular Perturbation Problem. Mathematics, 2020.
- Jia Wei He, Carlos Lizama, Yong Zhou. The Cauchy Problem For Discrete Time Fractional Evolution Equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020.
- Henríquez Hernán R., Lizama Carlos, Mesquita, Jaqueline G.. Semigroups On Time Scales And Applications To Abstract Cauchy Problems. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020.
- Goodrich Christopher, Lizama Carlos. Positivity, Monotonicity, And Convexity For Convolution Operators. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020.
- Lizama Carlos, Murillo-Arcila Marina, Peris Alfred. Nonlocal Operators Are Chaotic. CHAOS, 2020.
- Lizama Carlos, Murillo-Arcila Marina. L-P-L-Q-Well Posedness For The Moore-Gibson-Thompson Equation With Two Temperatures On Cylindrical. Mathematics, 2020.
- Lizama Carlos, Murillo-Arcila Marina. L-P – L-Q-Maximal Regularity Of The Van Wijngaarden-Eringen Equation In A Cylindrical Domain. ADVANCES IN DIFFERENCE EQUATIONS, 2020.
- González-Camus Jorge, Lizama Carlos. Globally Attractive Mild Solutions For Non-Local In Time Subdiffusion Equations Of Neutral Type. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020.
- Carlos Lizama , Marina Murillo-Arcila. Discrete Maximal Regularity For Volterra Equations And Nonlocal Time-Stepping Schemes. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020.
- Goodrich Christopher, Lizama Carlos. A Transference Principle For Nonlocal Operators Using A Convolutional Approach: Fractional Monotonicity And Convexity. ISRAEL JOURNAL OF MATHEMATICS, 2020.
- Lizama Carlos. Abstract Nonlinear Fractional Evolution Equations. FRACTIONAL DIFFERENTIAL EQUATIONS, 2019.
- Lizama Carlos. Abstract Linear Fractional Evolution Equations. FRACTIONAL DIFFERENTIAL EQUATIONS, 2019.
- Conejero J. Alberto, Lizama Carlos, Murillo-Arcila Marina, Seoane-Sepúlveda Juan B.. Well-Posedness For Degenerate Third Order Equations With Delay And Applications To Inverse Problems. ISRAEL JOURNAL OF MATHEMATICS, 2019.
- Conejero J. Alberto, Lizama Carlos, Mira-Iglesias Ainara, Rodero Cristóbal. Visibility Graphs Of Fractional Wu-Baleanu Time Series. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019.
- Luciano Abadias, Edgardo Alvarez, Józef Banaś, Carlos Lizama. Solvability And Uniform Local Attractivity For A Volterra Equation Of Convolution Type. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2019.
- Alvarez Edgardo, Díaz Stiven, Lizama, Carlos. On The Existence And Uniqueness Of (N, Lambda)-Periodic Solutions To A Class Of Volterra Difference Equations. ADVANCES IN DIFFERENCE EQUATIONS, 2019.
- Gambera Laura R., Lizama Carlos, Prokopczyk Andrea. On Close To Scalar Families For Fractional Evolution Equations: Zero-One Law. SEMIGROUP FORUM, 2019.
- Abadías Luciano, Lizama Carlos, Miana Pedro J., Pilar Velasco M.. On Well-Posedness Of Vector-Valued Fractional Differential-Difference Equations. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019.
- Lizama Carlos, Rueda Silvia. Nonlocal Integrated Solutions For A Class Of Abstract Evolution Equations. ACTA APPLICANDAE MATHEMATICAE, 2019.
- Lizama Carlos, Murillo-Arcila Marina. Maximal L(P)-Regularity For Discrete Time Volterra Equations With Delay. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019.
- Keyantuo Valentin, Lizama Carlos, Warma Mahamadi. Lattice Dynamical Systems Associated With A Fractional Laplacian. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019.
- González-Camus Jorge, Keyantuo Valentin, Lizama Carlos, Warma Mahamadi. Fundamental Solutions For Discrete Dynamical Systems Involving The Fractional Laplacian. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019.
- Carlos Lizama, Sebastián Zamorano. Controllability Results For The Moore-Gibson-Thompson Equation Arising In Nonlinear Acoustics. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019.
- Keyantuo Valentin, Lizama Carlos, Rueda Silvia, Warma Mahamadi. Asymptotic Behavior Of Mild Solutions For A Class Of Abstract Nonlinear Difference Equations Of Convolution Type. ADVANCES IN DIFFERENCE EQUATIONS, 2019.
- Carlos Lizama, Jaqueline G. Mesquita. Asymptotically Almost Automorphic Solutions Of Dynamic Equations On Time Scales. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019.
- Carlos Lizama, Marina Murillo-Arcila. Well Posedness For Semidiscrete Fractional Cauchy Problems With Finite Delay. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018.
- Luciano Abadias, Edgardo Alvarez, Carlos Lizama. Regularity Properties Of Mild Solutions For A Class Of Volterra Equations With Critical Nonlinearities. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2018.
- Carlos Lizama, Luz Roncal. Holder-Lebesgue Regularity And Almost Periodicity For Semidiscrete Equations With A Fractional Laplacian. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018.
- Luciano Abadías, Carlos Lizama, Marina Murillo-Arcila. Holder Regularity For The Moore-Gibson-Thompson Equation With Infinite Delay. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018.
- Fuente David, Lizama Carlos, Urchueguía Javier F., Conejero J. Alberto. Estimation Of The Light Field Inside Photosynthetic Microorganism Cultures Through Mittag-Leffler Functions At Depleted Light Conditions. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2018.
- Amar Debbouche, Carlos Lizama , Xiao-Jun Yang. Editorial: Modern Fractional Dynamic Systems And Applications, Mfdsa 2017. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018.
- Carlos Lizama, Felipe Poblete. A Characterization Of Well-Posedness For Abstract Cauchy Problems With Finite Delay. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018.
- Lizama Carlos, Rebolledo Rolando. A Semigroup Approach To Fractional Poisson Processes. COMPLEX ANALYSIS AND OPERATOR THEORY, 2018.
- Leal Claudio, Lizama Carlos, Murillo-Arcila Marina. Lebesgue Regularity For Nonlocal Time-Discrete Equations With Delays. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018.
- Carlos Lizama, Marina Murillo-Arcila, Claudio Leal. Lebesgue Regularity For Differential Difference Equations With Fractional Damping. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018.