Stochastics Seminar

Speaker: Dr. Erkan Nane

Title: Comparison principle for stochastic PDEs

Abstract: I will discuss  sample-path comparison principles for the nonlinear stochastic partial differential equations and  comparison inequalities for product moments of the stochastic heat equation with different nonlinearities. These are extensions of the results proved by Mueller (1991) on the comparison principle for stochastic heat equations. Recently Mueller's results have been extended to various settings of fractional Laplacian and space colored noises.

I will mention the recent progress on the comparison principles and state some current and future projects on comparison principles.