Palestras e Seminários
29/09/2021
11:00
virtual/à distância
Palestrante: Sergey Zelik
https://sites.google.com/usp.br/evol-eq-and-dyn-systems
Responsável: Phillipo Lappicy (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Webinar on Evolution Equations and Dynamical Systems
We discuss the problem of smoothness of inertial manifolds for abstract semilinear parabolic problems. It is well known that in general we cannot expect more than $C^{1,\epsilon}$-regularity for such manifolds (for some positive, but small $\epsilon$). Nevertheless,, under some natural assumptions, the obstacles to the existence of a $C^n$-smooth inertial manifold (where $n\in\Bbb N$ is any given number) can be removed by increasing the dimension and by modifying properly the nonlinearity outside of the global attractor (or even outside the $C^{1,\epsilon}$-smooth IM of a minimal dimension). The proof is strongly based on the Whitney extension theorem.
