Add to ORKGThe purpose of this paper is to show how local energy decay estimates for certain linear wave equations involving compact perturbations of the standard Laplacian lead to optimal global existence theorems for the corresponding small amplitude nonlinear wave equations with power nonlinearities. To achieve this goal, at least for spatial dimensions n = 3 an
Abstract. In this paper, we prove the existence of global small amplitude solutions to semilinear wa...
International audienceWe firstly prove Strichartz estimates for the fractional Schrödinger equations...
In this note we study the global existence of small data solutions to the Cauchy problem for the sem...
Abstract. We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension n...
We prove the global-in-time Strichartz estimates for wave equations on the nontrapping asymptoticall...
We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estim...
Abstract. We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strich...
AbstractIn this paper, we prove the exponential decay of local energy for the critical wave equation...
We examine the memorphic continuaiton of the cut-off resolvent Rχ(z) = χ(U(T, 0) − z)−1χ, χ(x) ∈ C∞ ...
The purpose of the present paper is to establish the local energy decay estimates and dispersive est...
We prove sharp pointwise kernel estimates and dispersive properties for the linear wave equation on ...
We consider local energy decay estimates for solutions to scalar wave equations on nontrapping asymp...
Abstract. We consider solutions to the linear wave equation on non-compact Riemannian manifolds with...
19 pages, an explanation on the semiclassical local energy decay addedInternational audienceWe prove...
AbstractIn the first part of this paper, we prove the decay of local energy for the solutions of the...
Abstract. In this paper, we prove the existence of global small amplitude solutions to semilinear wa...
International audienceWe firstly prove Strichartz estimates for the fractional Schrödinger equations...
In this note we study the global existence of small data solutions to the Cauchy problem for the sem...
Abstract. We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension n...
We prove the global-in-time Strichartz estimates for wave equations on the nontrapping asymptoticall...
We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estim...
Abstract. We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strich...
AbstractIn this paper, we prove the exponential decay of local energy for the critical wave equation...
We examine the memorphic continuaiton of the cut-off resolvent Rχ(z) = χ(U(T, 0) − z)−1χ, χ(x) ∈ C∞ ...
The purpose of the present paper is to establish the local energy decay estimates and dispersive est...
We prove sharp pointwise kernel estimates and dispersive properties for the linear wave equation on ...
We consider local energy decay estimates for solutions to scalar wave equations on nontrapping asymp...
Abstract. We consider solutions to the linear wave equation on non-compact Riemannian manifolds with...
19 pages, an explanation on the semiclassical local energy decay addedInternational audienceWe prove...
AbstractIn the first part of this paper, we prove the decay of local energy for the solutions of the...
Abstract. In this paper, we prove the existence of global small amplitude solutions to semilinear wa...
International audienceWe firstly prove Strichartz estimates for the fractional Schrödinger equations...
In this note we study the global existence of small data solutions to the Cauchy problem for the sem...