Nonlinear evolutionary equations

Eurica Henriques
CMAT-UTAD

November 6, 2019

In this talk we will give a brief introduction to the study of evolutionary equations satisfying certain structure conditions. Namely we will focus on the p-Laplacian parabolic equation and derive the well known energy estimates. These type of estimates are crucial along the proofs of regularity and boundedness to the PDE’s (local) weak solutions.