Johnny Yang : SPDEs on 1 to 2+ epsilon spatial dimensions

Posted by Cheng Ouyang , part of the Analysis and Applied Mathematics Seminar.

At

March 17, 2025, 4 p.m.

In

636 SEO

Abstract

This talk explores stochastic partial differential equations (SPDEs) across different spatial dimensions. We will start by talking about SPDEs in one spatial dimension and some classical results. Then, we will discuss SPDEs on fractional spatial dimensions in [1,2) and discuss their solvability and various comparison principles. Finally, we will extend an analytical method to solve singular SPDEs on spatial dimensions in between two and three.