Geometric Tangential Analysis and Sharp Regularity for Porous Medium Equation

Geometric Tangential Analysis and Sharp Regularity for Porous Medium Equation

UTAD, F2.1 PII ECT

2023-11-15 - 15:00

Nicolau Diehl

Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul, Brasil

ANAP group seminar

We will present a technique developed by Teixeira and Urbano, named Geometric Tangential Analysis (GTA), applied to the inhomogeneous Porous Medium Equation. The GTA combines a geometric tangential approach and the intrinsic scaling of the operator to obtain quantitative regularity results. We will discuss some similarities and differences between the results obtained by GTA to evolutive P-Laplacian type equations and Porous Medium type equations.