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Fractional differential equations and inverse problems.
(Universidad Nacional de ColombiaMedellín - Ciencias - Doctorado en Ciencias - MatemáticasEscuela de matemáticasFacultad de CienciasMedellínUniversidad Nacional de Colombia - Sede Medellín, 2020)
Our goal is the study of identification problems in the framework of transport equations with
fractional derivatives. We consider time fractional diffusion equations and space fractional
advection dispersion equations. The ...
Exponential Convergence Towards Stationary States For The 1d Porous Medium Equation With Fractional Pressure
(Academic Press Inc., 2015)
Regularity Theory For A Class Of Quasilinear Equations
(Wiley-VCH Verlag, 2014)
Existence And Uniqueness Of Solution For A Generalized Nonlinear Derivative Schrödinger Equation
(Academic Press Inc., 2015)
Eigenvalues for a nonlocal pseudo p-Laplacian
(American Institute of Mathematical Sciences, 2016-12)
In this paper we study the eigenvalue problems for a nonlocal operator of order s that is analogous to the local pseudo p-Laplacian. We show that there is a sequence of eigenvalues λn→ ∞and that the first one is positive, ...
The Steklov eigenvalue problem in a cuspidal domain
(Springer, 2020-02)
In this paper we analyze the approximation, by piecewise linear finite elements, of a Steklov eigenvalue problem in a plane domain with an external cusp. This problem is not covered by the literature and its analysis ...
A mixed-primal finite element approximation of a sedimentation–consolidation system
(2016)
This paper is devoted to the mathematical and numerical analysis of a strongly cou- pled flow and transport system typically encountered in continuum-based models of sedimentation–consolidation processes. The model focuses ...
Sobre una conjetura de de Giorgi y algunas variantes
(Universidad Tecnológica de PereiraFacultad de Ciencias BásicasPereiraMaestría en Matemática, 2022)
Algunos aspectos del problema de obstáculo
(Medellín - Ciencias - Maestría en Ciencias - MatemáticasEscuela de matemáticasUniversidad Nacional de Colombia - Sede Medellín, 2020-06-30)
The aim of this work is to study some aspects of the obstacle problem: existence and uniqueness of a solution using variational inequalities; regularity of the solution using the penalization method; a regularity result ...