Monday, January 15, 2024 - 11:15 Aula 9 Dipartimento di Matematica Università degli Studi di Milano Via Cesare Saldini 50
SPEAKER: Clara Torres Latorre (Universitat de Barcelona)
Regularity theory for elliptic and parabolic PDE
In this talk, we’ll explore how regularity theory is crucial for understanding partial differential equations (PDEs), and how it has consequences in physics and numerical analysis. We’ll first focus on why regularity matters, then take elliptic and parabolic PDEs as examples to talk about classical and recent regularity results. The goal is to give a practical overview, explaining when PDE solutions are smooth or singular.