| Abstract: |
| The lecture will be about some recent advances in the non-linear Calderon Zygmund theory for degenerate parabolic PDEs. A method will be introduced that allows to prove local higher integrability results. The key analytic tool is a metric that locally depends on the solution and as such allows to quantitatively capture the variation of the ellipticity in space-time.
We will discuss the regime of fast diffusion as well as the regime of finite speed of propagation. |
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