COLÓQUIO DO MAP - DIA 03.02.17
Palestrante: Prof. José M. Arrieta (Universidad Complutense de Madrid - Espanha)
Título:
Asymptotic behavior of a degenerate parabolic equation
Abstract:
We analyze the asymptotic behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearities of the type $\lambda u - n(x) u^{\rho}$, with $n(\cdot)\geq 0$ and $\rho>1$. An important characteristic of this work is that the region where the logistic term degenerates, that is $K_0=\{x: \, n(x)=0\}$, may be non smooth. We analyze conditions on $\lambda$, $\rho$, $n(\cdot)$ and $K_0$ guaranteeing that the solution starting at a positive initial condition remains bounded or blows up as time goes to infinity. Specially we try to understand how topological or geometric properties of the set $K_0$ affect the asymptotic dynamics of the solutions. This is a joint work with Rosa Pardo and Anibal Rodriguez-Bernal from Madrid.
Transmissão online: http://www.ime.usp.br/comunicacao/eventos/cat.listevents/
DATA: 03.02.2017 (sexta-feira)
HORÁRIO: das 16:00 às 17:00 horas
LOCAL: Sala B-09 (excepcionalmente) - Bloco B - IME / USP
Café às 15h30, na sala 265 A (Chefia do MAP)
