Perturbation Methods in PDE: from Heuristics to Breakthroughs in Regularity Theory - Part 2
This mini-course presents a powerful perturbative framework tailored to tackle critical regularity issues in nonlinear diffusion PDE.
Overview
We will begin with the underlying heuristics and gradually build toward a robust theory, illustrated through carefully chosen examples. The techniques developed will yield elegant proofs of classical results and pave the way to recent, and at times unexpected, advances in the field.
Presenters
Dr. Eduardo Teixeira, Professor of Mathematics, Department of Mathematics, University of Central Florida, USA
Brief Biography
Eduardo Teixeira is a Full Professor in the Department of Mathematics at the University of Central Florida, USA. His research focuses on free boundary problems and regularity theory for nonlinear partial differential equations. He obtained his PhD in 2005 under the supervision of Luis Caffarelli at the University of Texas at Austin. He has been a member of the Brazilian Academy of Sciences since 2014 and was awarded the 2017 ICTP Ramanujan Prize for his contributions to Mathematics.
