Decay properties of solutions to the Benjamin-Ono equation

When
Start: 02/04/2015 - 4:15pm
End  : 02/04/2015 - 5:15pm

Category
Colloquium

Speaker
Cynthia Flores, California State University, Channel Islands

Abstract

A classical problem in the theory of Partial Differential Equations (PDEs) is knowing when a solution to a given Initial Value Problem (IVP) exists, is unique and in what space does the solution persist. In this talk, we will motivate the definition of weighted Sobolev spaces and their role in describing solutions to the Initial Value Problem (IVP) for the Benjamin-Ono equation. Specifically, we will discuss decay properties of solutions corresponding to the IVP in weighted Sobolev spaces. This talk will be aimed at a broad audience.

Where
Shanahan Center for Teaching and Learning (SCTL), at Harvey Mudd, Basement, B460

AttachmentSize
Flores.pdf106.25 KB