I will report on joint work with Andras Vasy and Jared Wunsch which determines the global asymptotic behavior of solutions of the wave equation on asymptotically Minkowski spaces. The rate of decay (and, indeed, all exponents in the asymptotic expansion at time-like infinity) is determined by the locations of the resonances of an associated operator on an asympotically hyperbolic space.Non UBCUnreviewedAuthor affiliation: Texas A&M UniversityFacult
Abstract. F.G. Friedlander introduced the notion of radiation elds for asymptotically Euclidean man-...
We study the asymptotics of solutions to a particular class of systems of linear wave equations, nam...
Determining the asymptotic behaviour of solutions to linear PDEs is often a delicate matter. Even if...
Abstract. We consider a non-trapping n-dimensional Lorentzian man-ifold endowed with an end structur...
Abstract. We consider a non-trapping n-dimensional Lorentzian man-ifold endowed with an end structur...
Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture...
International audienceWe consider the wave equation on asymptotically Minkowski spacetimes and the K...
International audienceWe consider the wave equation on asymptotically Minkowski spacetimes and the K...
Abstract. In this paper we show the small data solvability of suitable semi-linear wave and Klein-Go...
Abstract. In this paper we show the small data solvability of suitable semi-linear wave and Klein-Go...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
Abstract. F.G. Friedlander introduced the notion of radiation elds for asymptotically Euclidean man-...
We study the asymptotics of solutions to a particular class of systems of linear wave equations, nam...
Determining the asymptotic behaviour of solutions to linear PDEs is often a delicate matter. Even if...
Abstract. We consider a non-trapping n-dimensional Lorentzian man-ifold endowed with an end structur...
Abstract. We consider a non-trapping n-dimensional Lorentzian man-ifold endowed with an end structur...
Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture...
International audienceWe consider the wave equation on asymptotically Minkowski spacetimes and the K...
International audienceWe consider the wave equation on asymptotically Minkowski spacetimes and the K...
Abstract. In this paper we show the small data solvability of suitable semi-linear wave and Klein-Go...
Abstract. In this paper we show the small data solvability of suitable semi-linear wave and Klein-Go...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov sys...
Abstract. F.G. Friedlander introduced the notion of radiation elds for asymptotically Euclidean man-...
We study the asymptotics of solutions to a particular class of systems of linear wave equations, nam...
Determining the asymptotic behaviour of solutions to linear PDEs is often a delicate matter. Even if...