Seminar Analysis: Hoai-Minh Nguyen (Swiss Federal Institute of Technology in Lausanne (EPFL))

Estimates for the topological degree and related problems

In this talk, I first discuss estimates for the topological degree of maps from sphere into itself. Second, I present characterizations of Sobolev spaces based on the pointwise convergence or the Gamma-convergence of a sequence of nonlocal, nonconvex functionals related to these estimates. If time permits, I will also discuss the  connection between these functionals  with various filters in the denoising problem. The talk is based on joint works with Jean Bourgain and Haim Brezis.

Export event as iCal