Noncompact Sobolev embeddings, quantitative aspects

Analysis and Operator Theory Seminar
Thu, April 11, 2024
11:30 am - 12:30 pm
MW 154

Title:  Noncompact Sobolev embeddings, quantitative aspects

Speaker:  Zdenek Mihula (Czech Technical University, Prague, Czech Republic)

Speaker's URL:  https://math.fel.cvut.cz/en/people/mihulzde/

Abstract:  Sobolev embeddings that are in a sense optimal, or nearly optimal, are typically noncompact. There are various quantities measuring "how bad" noncompactness of operators (e.g., of Sobolev embeddings) is, such as the ball measure of noncompactness or some so-called s-number. We will investigate some (nearly) optimal Sobolev embeddings from such a quantitative point of view.

URL associated with Seminar:  https://u.osu.edu/aots/