Existence of infinitely many solutions for the Einstein-Lichnerowicz system

Abstract:

“We will consider in this talk the Einstein-Lichnerowicz system of equations. It originates in General Relativity as a way to determine initial-data sets for the evolution problem. This system takes the form of a strongly coupled, supercritical, nonlinear system of  elliptic PDEs. We will investigate its blow-up properties and show that, under some assumptions on the physics data, it possesses a non-compact family of solutions. This family of solutions will be constructed by
combining toplogical methods with a finite-dimensional reduction approach; due to the non-variational structure of the system, the latter has to be carried on in strong spaces and relies on a priori blow-up estimates that we shall describe.”

Date: Aug 14, 2019 at 17:00:00 h
Venue: Sala de Seminarios, 4to piso, Torre Norte de Beauchef 851.
Speaker: Bruno Premoselli
Affiliation: Université Libre de Bruxelles, Bélgica
Coordinator: Matteo Rizzi
More info at:
Event website
Abstract:
PDF

Posted on Aug 7, 2019 in Differential Equations, Seminars