报告题目：The Dirichlet problem for stochastic porous media equation

报告人：杜恺，复旦大学上海数学中心

报告时间：9:00-10:00

报告地点：管理楼1418 

摘要：

Motivated by porous medium equations with randomly perturbed velocity field, this talk considers a class of nonlinear degenerate diffusion equations with nonlinear conservative noise in bounded domains. The existence, uniqueness and $L_{1}$-stability of non-negative entropy solutions under the homogeneous Dirichlet boundary condition are proved. The approach combines Kruzhkov's doubling variables technique with a revised strong entropy condition that is automatically satisfied by the solutions of approximate equations.