Differential Equations and Applications

GEDA (Grupo de ecuaciones diferenciales y aplicaciones) is a research team made up of people of three different universities headquartered in the Mathematics department of the Carlos III University.

The research will focus on a series of lines originated from the mathematical models of nonlinear diffusion, especially of degenerate, singular type or with geometrical origin, as well as nonlocal diffusion and the associated stationary states. Our main interests are qualitative theory (existence, uniqueness, regularity), the study of free boundaries, the formation of singularities in finite time and the asymptotic behaviour.

General lines of research	Specific fields of research
Non-linear elliptic equations Non-linear degenerate parabolic equations Blow-up in reaction-diffusion equations Fractional operators Non-local diffusion	Behaviour of fluxes in domains with holes The p-laplacian evolution equation Equations defined in non-homogeneous media Stability properties of blow-up Behaviour after the blow-up Quenching-type singularities Numerical analysis of blow-up Concave-convex problems related to fractional laplacian operators Fractional porous medium equation Stochastic equations and Lévy processes

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Date since:	2010-08-15

Department of Mathematics

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