SPDEs on 1 to 2+ epsilon spatial dimensions

WXLR A111 from 13:30 to 2:30 on Friday the 7th of February.

Speaker: Johnny Yang (University of Indiana at Bloomington)

Title: SPDEs on 1 to 2+ epsilon spatial dimensions.

Abstract: 
This talk explores stochastic partial differential equations (SPDEs) across different spatial dimensions. In one dimension, we will discuss certain SPDEs that arise in population models. For dimensions between one and two, we will examine their solvability and qualitative properties. Finally, we will explain why SPDEs do not have classical solutions in dimensions two and higher, and extend an analytical method to interpret them in dimensions between two and three.