Palestra – On the Gradient Structure of a Non-Autonomous Chafee-Infante Like Problem

Palestrante: Alexandre Nolasco de Carvalho – ICMC – USP

Resumo:

In this work we prove that some non–autonomous scalar one dimensional semi–linear parabolic problems have an associated skew–product semigroup with gradient structure similar to that observed for the autonomous Chafee–Infante problem. The aim is to exhibit a non–autonomous problem for which the asymptotic dynamics can be fairly well described. The tools involved are symmetry, invariance, comparison and the lap–number.