Palestras e Seminários
21/09/2022
14:00
Online / à distância
Palestrante: Marcus Marrocos
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
Abstract: In this talk, we compute variations Hadamard type formulas for the eigenvalues of a class of elliptic operators L on a compact Riemannian manifold M. As an application we analyse the behavior of eigenvalues when the metric changes along Ricci flow in a closed Riemannian manifold, in particular, we prove that it increase under suitable hypothesis. Considering λ_k(Ω), the k-th eigenvalue of L with Dirichlet boundary condition in Ω, as a functional on the set of domains of fixed volume in M we obtain necessary and sufficient conditions for a domain to be critical, locally minimizing or locally maximizing for λ_k. This is a joint work with José N. V. Gomes (UFSCar) and Cleiton L. Cunha (UFAM).
Os interessados na palestra podem acessar o link e o calendário do grupo em https://sites.google.com/usp.br/evol-eq-and-dyn-systems
