BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Global estimates for local and nonlocal porous medium type equations on bounded domains Figalli, Alessio


The behavior of solutions to the classical porous medium equation is by now well understood: the support of the solution expands at finite speed, and for large times it behaves as the separate-variable solution. When the Laplacian is replaced by a nonlocal diffusion, completely new and surprising phenomena arise depending on the power of the nonlinearity and the one of the diffusion. The aim of the talk is to give an overview of this theory.

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