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Luis Caffarelli : Degenerate ellipticity and the porous media equation

In the first lecture I will give a brief discussion of local and non local diffusion and degenerate ellipticity and different local and non local models for compressible flows in porous media.
In the second and third lectures I will discuss some properties of the (infinitesimal) porous media equation, a non local in space model and equations with memory.

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