Characterizations of Sobolev Spaces and Related Inequalities

GEOMETRIC PDE SEMINAR
Topic:Characterizations of Sobolev Spaces and Related Inequalities
Speaker:Hoai-Minh Nguyen
Affiliation:Member, School of Mathematics
Date:Tuesday, February 17
Time/Room:3:30pm - 4:30pm/S-101

In this talk, I will discuss some characterizations of Sobolev spaces, BV spaces, and present some new inequalities in this context. As a consequence, I can improve classical properties of Sobolev spaces such as Sobolev inequality, Poincare inequality, and Rellich-Kondrachov theorem. If time permits, I will deal with a Gamma-convergence problem which appears naturally here.