Analysis Seminar

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Parabolic equations with no boundary conditions

Speaker: Ben Weinkowe, Northwestern University

Location: Warren Weaver Hall 1302

Date: Thursday, April 24, 2025, 11 a.m.

Synopsis:

I will discuss the existence of smooth solutions of (degenerate) parabolic equations with no boundary conditions.  In the linear setting, I will describe a result of Kohn-Nirenberg type and show how it can be applied to prove smooth short-time existence results for nonlinear equations, including the porous medium equation, the p-Laplacian evolution equation, and the Gauss curvature flow with a flat side.  

This is joint work with Albert Chau.