PDE Seminar

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

  • 演讲者:King-Yeung Lam (俄亥俄州立大学)

  • 时间:2019-05-28 16:10-18:00

  • 地点:慧园3栋 415报告厅

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.