Seminario EDP UAM-ICMAT
Pohozaev identity for the Spectral Fractional Laplacian
Ponente: Itahisa Barrios (UAM)Fecha: viernes 31 de octubre de 2025 - 12:15Lugar: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Resumen:
In this talk, we present a Pohozaev identity for the Spectral Fractional Laplacian (SFL). This identity allows us to prove non-existence for certain semi-linear problems. The first work on non-local Pohozaev identities goes back to the influential paper by Ros-Oton and Serra in 2014, where they consider the Restricted Fractional Laplacian
(RFL) on RN. However, in our setting, boundary behavior is very different and the integration by parts approach by Ros-Oton and Serra cannot be used. Instead, we use a spectral approach to obtain a new identity written as a Schur product in which we recover the classical Pohozaev identity for the Laplacian by means of a transition matrix.
This is a joint work with Matteo Bonforte, María del Mar González and Clara Torres-Latorre.
