Palestras e Seminários
05/03/2024
14:00
Online / à distância
Palestrante: Yessica Yulieth Julio Pérez
https://us02web.zoom.us/j/84098904697?pwd=RUJ1R2EvSnhZRFk3K1FmNWd6ZjlEdz09
Responsável: Maykel Boldrin Belluzi (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Modo: À distância
Seminário em Dinâmica não-linear
Resumo: In this lecture, we will present a study of a one-dimensional nonlocal quasilinear problem of the form u_t - a(l(u))u_{xx} = λf(u) + h(t) with Dirichlet boundary conditions on the interval (0,1). We use a change in the time scale for reformulate the problem into a semilinear one, thus study a general equation through semigroup theory. Our focus extends to establishing the existence of a classical solution for an abstract problem, particularly when the forcing term f has a weaker modulus of continuity than continuous Hölder. We will obtain comparison results that will be helpful in ensuring the existence of a pullback attractor.
