Abstract. We obtain global Strichartz estimates for the solutions u of the wave equation (∂2t − ∆x+V (t, x))u = F (t, x) for time-periodic potentials V (t, x) with compact support with respect to x. Our analysis is based on the analytic properties of the cut-off resolvent Rχ(z) = χ(U(T)−zI) −1ψ1, where U(T) = U(T, 0) is the monodromy operator and T> 0 the period of V (t, x).We show that if Rχ(z) has no poles z ∈ C, |z | ≥ 1, then for n ≥ 3, odd, we have a exponential decal of local energy. For n ≥ 2, even, we obtain also an uniform decay of local energy assuming that Rχ(z) has no poles z ∈ C, |z | ≥ 1, and Rχ(z) remains bounded for z in a small neighborhood of 0
The purpose of this paper is to show how local energy decay estimates for certain linear wave equati...
We consider the three-dimensional linear wave equation perturbed by a potential V belonging to a sca...
We prove the existence of smooth positive potentials V ( t, x ), periodic in time and with compact ...
AbstractWe obtain global Strichartz estimates for the solutions u of the wave equation (∂t2−Δx+V(t,x...
We examine the memorphic continuaiton of the cut-off resolvent Rχ(z) = χ(U(T, 0) − z)−1χ, χ(x) ∈ C∞ ...
AbstractWe prove Strichartz estimates for the Schrödinger operator H=−Δ+V(t,x) with time-periodic co...
We study the wave equation $\partial_t^2 u-\Div_x(a(t,x)\nabla_xu)=0$ with time-periodic and scalar ...
Abstract. The existence and uniqueness of solutions in the initial value problem for Schröding-er a...
International audienceThis paper deals with global dispersive properties of Schrödinger equations wi...
We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estim...
International audienceThis paper deals with global dispersive properties of Schrödinger equations wi...
AbstractWe study the well-posedness of the Cauchy problem with Dirichlet or Neumann boundary conditi...
Herr S, Tataru D, Tzvetkov N. Strichartz estimates for partially periodic solutions to Schrödinger e...
We prove the global-in-time Strichartz estimates for wave equations on the nontrapping asymptoticall...
Abstract. We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strich...
The purpose of this paper is to show how local energy decay estimates for certain linear wave equati...
We consider the three-dimensional linear wave equation perturbed by a potential V belonging to a sca...
We prove the existence of smooth positive potentials V ( t, x ), periodic in time and with compact ...
AbstractWe obtain global Strichartz estimates for the solutions u of the wave equation (∂t2−Δx+V(t,x...
We examine the memorphic continuaiton of the cut-off resolvent Rχ(z) = χ(U(T, 0) − z)−1χ, χ(x) ∈ C∞ ...
AbstractWe prove Strichartz estimates for the Schrödinger operator H=−Δ+V(t,x) with time-periodic co...
We study the wave equation $\partial_t^2 u-\Div_x(a(t,x)\nabla_xu)=0$ with time-periodic and scalar ...
Abstract. The existence and uniqueness of solutions in the initial value problem for Schröding-er a...
International audienceThis paper deals with global dispersive properties of Schrödinger equations wi...
We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estim...
International audienceThis paper deals with global dispersive properties of Schrödinger equations wi...
AbstractWe study the well-posedness of the Cauchy problem with Dirichlet or Neumann boundary conditi...
Herr S, Tataru D, Tzvetkov N. Strichartz estimates for partially periodic solutions to Schrödinger e...
We prove the global-in-time Strichartz estimates for wave equations on the nontrapping asymptoticall...
Abstract. We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strich...
The purpose of this paper is to show how local energy decay estimates for certain linear wave equati...
We consider the three-dimensional linear wave equation perturbed by a potential V belonging to a sca...
We prove the existence of smooth positive potentials V ( t, x ), periodic in time and with compact ...