题目：Homogenization of Viscous Sublinear Hamilton–Jacobi Equations with u/ϵ-Dependence

报告人：金谷雨，东京大学

时间：9月22日，16:00-17:00

地点：数学新楼308教室

摘要：We study the periodic homogenization of a class of viscous Hamilton–Jacobi equations with fast dependence on the unknown. This problem combines features of first-order Hamilton–Jacobi equations with u/ϵ-periodic Hamiltonians and semilinear heat equations with rapidly oscillating positive potentials. In this paper, we prove homogenization for H(y, s, p) = F (s, p) + ηW (y, s, p) when |η| is sufficiently small, and derive large-time asymptotics for a general class of evolutionary cell problems.