Bienvenidos(as) al DMCC | Departamento de Matemática y Ciencia de la Computación

Carlos Lizama Yañez

Carlos Lizama Yañez

Académico del Departamento de Matemática y Ciencia de la Computación de la Universidad de Santiago de Chile, donde ha desarrollado una destacada trayectoria en docencia, investigación y gestión universitaria. Licenciado en Matemática, Magíster y Doctor en su área, ha dedicado su carrera al estudio de diversas ramas de la matemática aplicada y teórica, consolidándose como uno de los investigadores más productivos y reconocidos del país.

Su labor docente se caracteriza por un enfoque cercano y dialogante, que integra la vida cotidiana y la contingencia en el aprendizaje de conceptos matemáticos complejos. Su metodología —descrita recientemente en un capítulo que publicará en un libro de docencia en ciencias— busca que los estudiantes comprendan el sentido profundo de la matemática más allá de las demostraciones formales, privilegiando el razonamiento crítico, la conversación académica y la claridad conceptual. Esta aproximación ha demostrado una mejora significativa en resultados y en la experiencia formativa de sus estudiantes.

Reconocido internacionalmente, se encuentra dentro del 2% de los investigadores más citados del mundo, según la clasificación de la Universidad de Stanford, y figura entre los científicos más destacados de Chile en el área de las matemáticas. Ha dirigido tesis de pregrado, posgrado y doctorado, además de haber ejercido roles como jefe de carrera y vicedecano, desde los cuales ha contribuido al desarrollo institucional. Sus áreas de interés incluyen análisis funcional, ecuaciones diferenciales, métodos aplicados y modelos matemáticos, y proyecta continuar investigando y formando nuevas generaciones, guiado por la idea del “camino del medio”: rigor académico, equilibrio y trabajo hecho desde la convicción y la pasión.

  • 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:

  1. Carlos Lizama, Mahamadi Warma. The Semi-Discrete Diffusion Convection Equation With Decay. APPLIED MATHEMATICS LETTERS, 2024.
  2. Carlos Lizama, Marina Murillo-Arcila. On Semidiscrete Models Dominated By The Heat, Wave And Laplace Equations. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024.
  3. Christopher Goodrich, Carlos Lizama. An Unexpected Property Of Fractional Difference Operators: Finite And Eventual Monotonicity. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024.
  4. 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.
  5. Edgardo Alvarez, Carlos Lizama. A Characterization Of Lp-Maximal Regularity For Time-Fractional Systems In Umd Spaces And Applications. JOURNAL OF DIFFERENTIAL EQUATIONS, 2024.
  6. Lizama Carlos, Murillo-Arcila Marina. The Semidiscrete Damped Wave Equation With A Fractional Laplacian. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023.
  7. 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.
  8. J. Alberto Conejero, Òscar Garibo-i-Orts, Carlos Lizama. Recovering Discrete Delayed Fractional Equations From Trajectories. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023.
  9. 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.
  10. Carlos Lizama, Marina Murillo-Arcila. Periodic Solutions For The Blackstock-Crighton-Westervelt Equation. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023.
  11. Carlos Lizama, Marina Murillo-Arcila. On The Existence Of Chaos For The Fourth-Order Moore-Gibson-Thompson Equation. CHAOS SOLITONS & FRACTALS, 2023.
  12. Carlos Lizama, Marina Murillo-Arcila. On The Dynamics Of The Damped Extensible Beam 1D-Equation. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023.
  13. Conejero J. Alberto, Garibo-i-Orts Òscar, Lizama Carlos. Inferring The Fractional Nature Of Wu Baleanu Trajectories. NONLINEAR DYNAMICS, 2023.
  14. Aparicio Rafael, Keyantuo Valentin, Lizama Carlos. A Characterization Of Uniform Well Posedness For Degenerate Second-Order Abstract Differential Equations. RESULTS IN MATHEMATICS, 2023.
  15. Bravo Jennifer, Lizama Carlos. The Abstract Cauchy Problem With Caputo-Fabrizio Fractional Derivative. Mathematics, 2022.
  16. Carlos Lizama, Rodrigo Ponce. Time Discretization And Convergence To Superdiffusion Equations Via Poisson Distribution. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022.
  17. Edgardo Alvarez, Carlos Lizama. Singular Perturbation And Initial Layer For The Abstract Moore-Gibson-Thompson Equation. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022.
  18. Jennifer Bravo, Carlos Lizama, Silvia Rueda. Qualitative Properties Of Nonlocal Discrete Operators. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022.
  19. 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.
  20. Lizama Carlos, Murillo-Arcila Marina, Trujillo Macarena. Fractional Beer-Lambert Law In Laser Heating Of Biological Tissue. AIMS Mathematics, 2022.
  21. Lizama Carlos, Warma Mahamadi, Zamorano Sebastián. Exterior Controllability Properties For A Fractional Moore-Gibson-Thompson Equation. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2022.
  22. Alvarez Edgardo, Díaz Stiven, Lizama Carlos. Existence of (N, lambda)-Periodic Solutions for Abstract Fractional Difference Equations. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022.
  23. 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.
  24. Alvarez Edgardo, DÍaz Stiven, Lizama, Carlos. C-Semigroups, Subordination Principle And The Levy Alpha-Stable Distribution On Discrete Time. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022.
  25. Lizama Carlos, Zamorano Sebastian. Boundary Controllability For The 1D Moore-Gibson-Thompson Equation. MECCANICA, 2022.
  26. 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.
  27. Gambera Laura R., Lizama Carlos, Prokopczyk Andréa. Well-Posedness For The Abstract Blackstock-Crighton-Westervelt Equation. JOURNAL OF EVOLUTION EQUATIONS, 2021.
  28. 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.
  29. 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.
  30. Carlos Lizama, Rodrigo Ponce, Solutions Of Abstract Integro-Differential Equations Via Poisson Transformation. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021.
  31. 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.
  32. 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.
  33. Bravo Jennifer, Lizama Carlos. Normal Periodic Solutions For The Fractional Abstract Cauchy Problem. BOUNDARY VALUE PROBLEMS, 2021.
  34. González-Camus Jorge, Lizama Carlos, Miana Pedro J.. Fundamental Solutions For Semidiscrete Evolution Equations Via Banach Algebras. ADVANCES IN DIFFERENCE EQUATIONS, 2021.
  35. 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.
  36. Alvarez Edgardo, Lizama Carlos. The Super-Diffusive Singular Perturbation Problem. Mathematics, 2020.
  37. Jia Wei He, Carlos Lizama, Yong Zhou. The Cauchy Problem For Discrete Time Fractional Evolution Equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020.
  38. Henríquez Hernán R., Lizama Carlos, Mesquita, Jaqueline G.. Semigroups On Time Scales And Applications To Abstract Cauchy Problems. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020.
  39. Goodrich Christopher, Lizama Carlos. Positivity, Monotonicity, And Convexity For Convolution Operators. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020.
  40. Lizama Carlos, Murillo-Arcila Marina, Peris Alfred. Nonlocal Operators Are Chaotic. CHAOS, 2020.
  41. Lizama Carlos, Murillo-Arcila Marina. L-P-L-Q-Well Posedness For The Moore-Gibson-Thompson Equation With Two Temperatures On Cylindrical. Mathematics, 2020.
  42. 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.
  43. 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.
  44. Carlos Lizama , Marina Murillo-Arcila. Discrete Maximal Regularity For Volterra Equations And Nonlocal Time-Stepping Schemes. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020.
  45. Goodrich Christopher, Lizama Carlos. A Transference Principle For Nonlocal Operators Using A Convolutional Approach: Fractional Monotonicity And Convexity. ISRAEL JOURNAL OF MATHEMATICS, 2020.
  46. Lizama Carlos. Abstract Nonlinear Fractional Evolution Equations. FRACTIONAL DIFFERENTIAL EQUATIONS, 2019.
  47. Lizama Carlos. Abstract Linear Fractional Evolution Equations. FRACTIONAL DIFFERENTIAL EQUATIONS, 2019.
  48. 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.
  49. 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.
  50. 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.
  51. 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.
  52. Gambera Laura R., Lizama Carlos, Prokopczyk Andrea. On Close To Scalar Families For Fractional Evolution Equations: Zero-One Law. SEMIGROUP FORUM, 2019.
  53. 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.
  54. Lizama Carlos, Rueda Silvia. Nonlocal Integrated Solutions For A Class Of Abstract Evolution Equations. ACTA APPLICANDAE MATHEMATICAE, 2019.
  55. Lizama Carlos, Murillo-Arcila Marina. Maximal L(P)-Regularity For Discrete Time Volterra Equations With Delay. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019.
  56. Keyantuo Valentin, Lizama Carlos, Warma Mahamadi. Lattice Dynamical Systems Associated With A Fractional Laplacian. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019.
  57. 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.
  58. Carlos Lizama, Sebastián Zamorano. Controllability Results For The Moore-Gibson-Thompson Equation Arising In Nonlinear Acoustics. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019.
  59. 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.
  60. Carlos Lizama, Jaqueline G. Mesquita. Asymptotically Almost Automorphic Solutions Of Dynamic Equations On Time Scales. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019.
  61. Carlos Lizama, Marina Murillo-Arcila. Well Posedness For Semidiscrete Fractional Cauchy Problems With Finite Delay. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018.
  62. 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.
  63. Carlos Lizama, Luz Roncal. Holder-Lebesgue Regularity And Almost Periodicity For Semidiscrete Equations With A Fractional Laplacian. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018.
  64. 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.
  65. 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.
  66. Amar Debbouche, Carlos Lizama , Xiao-Jun Yang. Editorial: Modern Fractional Dynamic Systems And Applications, Mfdsa 2017. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018.
  67. Carlos Lizama, Felipe Poblete. A Characterization Of Well-Posedness For Abstract Cauchy Problems With Finite Delay. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018.
  68. Lizama Carlos, Rebolledo Rolando. A Semigroup Approach To Fractional Poisson Processes. COMPLEX ANALYSIS AND OPERATOR THEORY, 2018.
  69. Leal Claudio, Lizama Carlos, Murillo-Arcila Marina. Lebesgue Regularity For Nonlocal Time-Discrete Equations With Delays. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018.
  70. Carlos Lizama, Marina Murillo-Arcila, Claudio Leal. Lebesgue Regularity For Differential Difference Equations With Fractional Damping. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018.
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