Next seminars
Lunes 24 de Octubre, a las 4pm, en la sala de seminarios del 5to. piso del DIM, U. de Chile.
En esta ocasión contaremos con dos profesores invitados:
4pm
Nicola Abatangelo (U. Libre Bruselas)
Title: Loss of maximum principles for higher-order fractional Laplacians
Abstract:
Abstract:
It is long since known that the bilaplacian operator (namely, the square of the Laplacian), when coupled with Dirichlet boundary conditions, does not satisfy a maximum principle in general. We investigate whether maximum principles do hold or not for powers of the Laplacian between 1 and 2, and for other positive powers. We will show how the property is lost in general on disconnected domains, but it is still preserved on spherical ones. This is a joint work with S. Jarohs (Frankfurt) and A. Saldana (Lisbon).
4:55
Pausa Café
5:10pm
Márcio Cavalcante (CMM)
Title: The initial-boundary value problem for the Schrödinger-Korteweg-de Vries system on the half-line
Abstract:
We present some local well-posedness results for the initial-boundary value problem (IBVP) associated to the Schrödinger-Korteweg de Vries system on right and left half-lines. The results are obtained in the low regularity setting by using two analytic families of boundary forcing operators, one of these was developed by Holmer for the IBVP associated to the Korteweg-de Vries equation (Communications in Partial Differential Equations, 31 (2006)) and the other one was recently introduced by myself in the context of nonlinear Schrödinger with quadratic nonlinearities. This is a joint work with A.J. Corcho.
Próximo evento/seminario: Lunes 7 Noviembre.