KAUST-CEMSE-AMCS-Mathematics-and-Applications-Colloquium-Henrik-Shahgholian

Constraint Maps and their free boundaries

I shall give an introduction to the topic of constraint maps, which sits on the intersection of free boundaries, and harmonic maps. The talk will start at level of graduate and will also smoothly merge current work that has been developed recently.

Overview

This talk is based on current collaboration with A. Figalli, A. Guerra, and S. Kim.
For a smooth-introduction see https://arxiv.org/pdf/2411.04110

Presenters

Henrik Shahgholian

Breif Biography

Henrik Shahgholian, Ph.D. (1991) from KTH Royal Institute of Technology, has been with KTH since 1991 and became a Full Professor in 2001. His research focuses on Partial Differential Equations (PDEs) and free boundary problems, with a particular emphasis on regularity theory, and his current interests include constraint maps and their free boundaries. He has authored over 140 publications, including one book and two book chapters.