Research-Viscosity Solution to First Order Hamilton-Jacobi Equations and Applications I

Research

PDE Seminar

Viscosity Solution to First Order Hamilton-Jacobi Equations and Applications I

Speaker: King-Yeung Lam (The Ohio State University )
Time: May 28, 2019, 16:10-18:00
Location: Conference Room 415, Hui Yuan 3#

Abstract

Lecture I.

Introduction. Definition of viscosity solution, stability result for continuous solutions, various comparison results.

Lecture II.

The half-relaxed limit. Notion of viscosity solutions when solution and/or equations are discontinuous, existence properties via Perron's method, regularity results.

Lecture III.

Application to spreading of two competing species with exponentially decaying initial data.