Events

May 11 - May 17, 2025

Perturbation Methods in PDE: from Heuristics to Breakthroughs in Regularity Theory - Part 3

Dr. Eduardo Teixeira, Professor of Mathematics, Department of Mathematics, University of Central Florida, USA

May 15, 16:15 - 17:30

B1 L4 R4102

This mini-course presents a powerful perturbative framework tailored to tackle critical regularity issues in nonlinear diffusion PDE.
Perturbation Methods in PDE: from Heuristics to Breakthroughs in Regularity Theory - Part 2

Dr. Eduardo Teixeira, Professor of Mathematics, Department of Mathematics, University of Central Florida, USA

May 14, 16:15 - 17:30

B1 L3 R3119

This mini-course presents a powerful perturbative framework tailored to tackle critical regularity issues in nonlinear diffusion PDE.
Nonlocal Degenerate PDEs: Bridging Free Boundary Problems and Critical-point Models

Eduardo Teixeira, Graduate Director & Professor, Department of Mathematics, University of Central Florida

May 13, 16:00 - 17:00

Building 1, Level 3, Room 3426

nonlocal degeneracies local extrema models regularity estimates

This talk explores a new class of PDEs featuring nonlocal degeneracies. Our framework unifies two classical scenarios — free boundary problems and critical-point degenerate PDEs; both are recast as local extrema models in our formulation.
Perturbation Methods in PDE: from Heuristics to Breakthroughs in Regularity Theory - Part 1

Dr. Eduardo Teixeira, Professor of Mathematics, Department of Mathematics, University of Central Florida, USA

May 11, 16:15 - 17:30

B1 L3 R3119

This mini-course presents a powerful perturbative framework tailored to tackle critical regularity issues in nonlinear diffusion PDE.

May 14 - May 20, 2023

Advances in nonlinear elliptic and parabolic PDEs

May 14, 11:00 - May 17, 17:00

AlUla Al Madinah KSA

KAUST Research Conference on Advances in nonlinear elliptic and parabolic PDEs

May 7 - May 13, 2023

A brief introduction to the obstacle problem regularity theory

Prof. Eduardo Teixeira, Department of Mathematics, University of Central Florida (USA)

May 8, 08:30 - May 11, 10:00

B1 L4 R4102

free boundary problems

Abstract How does an elastic membrane lie on a given obstacle? This naive looking question hides a beautiful mathematical theory integrating powerful tools with far-reaching applications. In this mini-course we will discuss the obstacle problem as a free boundary model. All necessary tools will be carefully constructed from scratch. We will mainly focus on: optimal regularity of solutions, non-degeneracy estimates, weak geometric-measure properties of the free boundary, classification of global profiles, and differentiability of the free boundary. Brief Biography Eduardo Teixeira is a Full