A Pohozaev identity for the Spectral Fractional LaplacianOberseminar Analysis

by Prof. Clara Torres Latorre (ICMAT Madrid)

Thursday Jun 11, 2026, 2:00 PM → 4:00 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

Pohozaev identities are conservation laws arising from the symmetries of certain operators. Their most classical example, which gives name to them, is an integration by parts identity that exploits the translation and dilation invariances of the Laplacian, with notable applications in nonexistence results for semilinear equations. In this work, we use a novel spectral approach to prove a Pohozaev-type identity for the Spectral Fractional Laplacian, an operator without translation and dilation invariances defined as the spectral power of the Dirichlet Laplacian on a domain, and we deduce nonexistence results for certain semilinear equations. This is a joint work with Itahisa Barrios-Cubas, María del Mar González, and Matteo Bonforte (Universidad Autónoma de Madrid).