Viscosity Solutions Approach to Variational Problems - Daniela De Silva

Explore the viscosity solutions approach to variational problems in this 55-minute colloquium talk from the Women and Mathematics series. Delve into Laplace's equation, multiple proof methods, and key mathematical concepts as presented by Daniela De Silva from Columbia University. Gain insights into integration by parts, Harnack inequality, Hölder continuity, and hardneck inequality. Examine super solutions, discrete equations, and explicit computations while understanding the motivation behind and contributions to this field of study. Enhance your understanding of advanced mathematical techniques and their applications in solving complex variational problems.

Introduction
Laplaces equation
First proof
Second proof
Extended proof
Viscosity solution
Integration by parts
Harnack inequality
Holded continuity
Hardneck inequality
Motivation
Contributions
Super solutions
Discrete equations
Explicit computation
Explicit proof
Second property