Nonlinear Diffusion with Fractional Operators

Interactions between Partial Differential Equations & Functional Inequalities

29 September 16:00 - 16:50

Juan Luis Vázquez Suárez - Universidad Autonoma de Madrid

I will report on some of the progress made with collaborators on the topic of nonlinear diffusion equations involving long distance interactions, mostly in the form of fractional Laplacian operators. The nonlinearities are of the following types: porous medium, fast diffusion or p-Laplacian. Differences with standard diffusion have been specially examined. Results cover well-posedness, regularity, free boundaries, asymptotics and entropies, ultracontractive bounds, and others.
José A. Carrillo
Imperial College London
Ivan Gentil
Institut Camille Jordan
Helge Holden
NTNU - Norwegian University of Science and Technology
Cédric Villani
Institut Henri Poincaré (IHP)
Boguslaw Zegarlinski
Imperial College London


José A. Carrillo


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