Add to ORKGWe study dispersive properties for the wave equation in the Schwarzschild space-time. The first result we obtain is a local energy estimate. This is then used, following the spirit of [29], to establish global-in-time Strichartz estimates. A considerable part of the paper is devoted to a precise analysis of solutions near the trapping region, namely the photon sphere
An emitted radiation can be reprocessed in curved spacetimes, due to the breakdown of the Huyghens p...
ce travail porte sur les inegalites de strichartz pour les equations des ondes et de schrodinger sur...
In this paper we prove the existence of global in time small data solutions of semilinear Klein-Gord...
We study dispersive properties for the wave equation in the Schwarzschild space-time. The first resu...
We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estim...
Abstract. We examine solutions to semilinear wave equations on black hole back-grounds and give a pr...
A robust measure of decay and dispersion for the wave equation is provided by the localized energy e...
Abstract. We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strich...
A new Morawetz or integrated local energy decay estimate for Maxwell test fields on the exterior of ...
The purpose of this dissertation is to discuss a robust way to measure dispersion of the linear wave...
The purpose of this dissertation is to discuss a robust way to measure dispersion of the linear wave...
A new Morawetz or integrated local energy decay estimate for Maxwell test fields on the exterior of ...
Abstract. In this paper we define the radiation field for the wave equa-tion on the Schwarzschild bl...
We consider solutions to the linear wave equation on higher dimensional Schwarzschild black hole spa...
An emitted radiation can be reprocessed in curved spacetimes, due to the breakdown of the Huyghens p...
An emitted radiation can be reprocessed in curved spacetimes, due to the breakdown of the Huyghens p...
ce travail porte sur les inegalites de strichartz pour les equations des ondes et de schrodinger sur...
In this paper we prove the existence of global in time small data solutions of semilinear Klein-Gord...
We study dispersive properties for the wave equation in the Schwarzschild space-time. The first resu...
We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estim...
Abstract. We examine solutions to semilinear wave equations on black hole back-grounds and give a pr...
A robust measure of decay and dispersion for the wave equation is provided by the localized energy e...
Abstract. We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strich...
A new Morawetz or integrated local energy decay estimate for Maxwell test fields on the exterior of ...
The purpose of this dissertation is to discuss a robust way to measure dispersion of the linear wave...
The purpose of this dissertation is to discuss a robust way to measure dispersion of the linear wave...
A new Morawetz or integrated local energy decay estimate for Maxwell test fields on the exterior of ...
Abstract. In this paper we define the radiation field for the wave equa-tion on the Schwarzschild bl...
We consider solutions to the linear wave equation on higher dimensional Schwarzschild black hole spa...
An emitted radiation can be reprocessed in curved spacetimes, due to the breakdown of the Huyghens p...
An emitted radiation can be reprocessed in curved spacetimes, due to the breakdown of the Huyghens p...
ce travail porte sur les inegalites de strichartz pour les equations des ondes et de schrodinger sur...
In this paper we prove the existence of global in time small data solutions of semilinear Klein-Gord...