石井 仁司（津田塾大学・研究員／早稲田大学・名誉教授）

講演題目

非線形偏微分方程式の粘性解理論の発展

Developments of the theory of viscosity solutions for nonlinear partial differential equations

英文サマリ

The notion of viscous solutions for partial differential equations has been nearly 40 years since M. G. Crandall and P.-L. Lions introduced it. In this lecture, I will give a brief overview of the history of this theory, and also give two examples of the application of viscous solution theory to the asymptotic problem of differential equations and the feedback to that theory, which I have been interested in recently.