Add to ORKGIn this paper, we estimate smoothing properties of local solu-tions to nonlinear Schr\"odinger equations with initial data which belong to Sobolev spaces $H^{s}, $ $s\geq 0 $. We consider the following equation
AbstractWe prove the local smoothing effect for Schrödinger equations with repulsive potentials for ...
AbstractWe study the Cauchy problem for the following Schrödinger equation in Rn(n∈N): i∂tu + 12Δu =...
AbstractWe show that the Schrödinger operator eitΔ is bounded from Wα,q(Rn) to Lq(Rn×[0,1]) for all ...
We prove a family of identities satisfied by the solutions to the linear Schroedinger equation. As...
International audienceIt is well known that solutions of the Cauchy problem for general dispersive e...
This paper deals with the critical case of the global smoothing estimates for the Schrodinger equati...
In this paper we show that the local Kato type smoothing estimates are essentially equivalent to the...
34 pages, 2 figuresWe prove smoothing estimates for Schrödinger equations $i\partial_t \phi+\partial...
none3We study microlocal analytic singularity of solutions to Schr"odinger equation with analytic ...
AbstractWe consider the following nonlinear Schrödinger equations in exterior domains: i∂tu + 12 Δu ...
Abstract. We prove a local smoothing result for the Schrödinger equation on a class of surfaces of ...
none2siIn this work we consider an example of a linear time degenerate Schrödinger operator. We show...
AbstractWe prove smoothing estimates for Schrödinger equations i∂tϕ+∂x(a(x)∂xϕ)=0 with a(x)∈BV, real...
We transpose work by T.Mizumachi to prove smoothing estimates for dispersive solutions of the linear...
We improve the result obtained by one of the authors, [Bie], and establish the well posed-ness of th...
AbstractWe prove the local smoothing effect for Schrödinger equations with repulsive potentials for ...
AbstractWe study the Cauchy problem for the following Schrödinger equation in Rn(n∈N): i∂tu + 12Δu =...
AbstractWe show that the Schrödinger operator eitΔ is bounded from Wα,q(Rn) to Lq(Rn×[0,1]) for all ...
We prove a family of identities satisfied by the solutions to the linear Schroedinger equation. As...
International audienceIt is well known that solutions of the Cauchy problem for general dispersive e...
This paper deals with the critical case of the global smoothing estimates for the Schrodinger equati...
In this paper we show that the local Kato type smoothing estimates are essentially equivalent to the...
34 pages, 2 figuresWe prove smoothing estimates for Schrödinger equations $i\partial_t \phi+\partial...
none3We study microlocal analytic singularity of solutions to Schr"odinger equation with analytic ...
AbstractWe consider the following nonlinear Schrödinger equations in exterior domains: i∂tu + 12 Δu ...
Abstract. We prove a local smoothing result for the Schrödinger equation on a class of surfaces of ...
none2siIn this work we consider an example of a linear time degenerate Schrödinger operator. We show...
AbstractWe prove smoothing estimates for Schrödinger equations i∂tϕ+∂x(a(x)∂xϕ)=0 with a(x)∈BV, real...
We transpose work by T.Mizumachi to prove smoothing estimates for dispersive solutions of the linear...
We improve the result obtained by one of the authors, [Bie], and establish the well posed-ness of th...
AbstractWe prove the local smoothing effect for Schrödinger equations with repulsive potentials for ...
AbstractWe study the Cauchy problem for the following Schrödinger equation in Rn(n∈N): i∂tu + 12Δu =...
AbstractWe show that the Schrödinger operator eitΔ is bounded from Wα,q(Rn) to Lq(Rn×[0,1]) for all ...