##### Department of Mathematics,

University of California San Diego

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### Math 258 - Differential Geometry Seminar

## Daniela De Silva

#### Columbia University

## On the Boundary Harnack Principle

##### Abstract:

We present a direct unified analytic proof of the classical Boundary Harnack Principle for solutions to linear uniformly elliptic equations in either divergence or non-divergence form. The proof extends also to (appropriate) H\"older domains. The strategy also applies to the parabolic context. Applications of the BHP to free boundary problems are discussed."

Hosts: Lei Ni and Luca Spolaor

### May 12, 2021

### 11:00 AM

### Zoom ID 917 6172 6136

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