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Learning Seminar on PDE and Applications

Elliptic boundary value problems on irregular domains

Zongyuan Li, Rutgers University

Date & time: Tuesday, 25 August 2020 at 1:40PM - 3:40PM

Abstract: In this talk, we will discuss the elliptic boundary value problems on irregular domains, with non-smooth boundary data. We will first setup the problems with (L_p) boundary data, where the boundary conditions are understood in the sense of the "non-tangential limit". Some interesting "good and bad" domains will be given in the process. For the second part, let us focus on problems on Lipschitz domains. We will introduce an interpolation method which is by proving the boundary reverse H"older inequality via the theory of weak solutions. As a concrete example, we will present a recent joint work with H. Dong on the mixed Dirichlet-conormal problems.

This talk will be held virtually on WebEx, copy and paste the following web address:

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