We study the non-linear Schrödinger equation with time depending magnetic field without smallness assumption at infinity. We obtain some results on the Cauchy problem, WKB asymptotics and instability
AbstractIn this paper we obtain multiple solutions u:RN→C of the nonlinear Schrödinger equation with...
International audienceWe justify rigorously the convergence of the amplitude of solutions of nonline...
AbstractWe establish local well-posedness for small initial data in the usual Sobolev spaces Hs(R), ...
AbstractWe prove global, scale invariant Strichartz estimates for the linear magnetic Schrödinger eq...
In this paper, we study the nonlinear Schrödinger equation coupled with the Maxwell equation. Using ...
AbstractWe consider the Cauchy problem for a class of magnetic Schrödinger system with local and non...
We consider the dynamics of nonlinear Schrödinger equations with strong constant magnetic fields. In...
Inequalities are derived for sums and quotients of eigenvalues of magnetic Schrödinger operators wit...
AbstractWe prove some uniform in ϵ a priori estimates for solutions of the equation(∇−iA)2u−V(x)u+(λ...
AbstractThe soliton dynamics for a general class of nonlinear focusing Schrödinger problems in prese...
28 pagesInternational audienceThis paper is devoted to the spectral analysis of the magnetic Neumann...
Abstract. We study the nonlinear Schrödinger equation with time-depending magnetic field without sm...
AbstractThe paper concerns the magnetic Schrödinger operator H(a,V)=∑j=1n(1i∂∂xj−aj)2+V on Rn. Under...
We study the inverse boundary problem for a nonlinear magnetic Schr\"odinger operator on a conformal...
We use the mirror coupling of Brownian motion to show that under a β ∈ (0, 1)-dependent Kato-type as...
AbstractIn this paper we obtain multiple solutions u:RN→C of the nonlinear Schrödinger equation with...
International audienceWe justify rigorously the convergence of the amplitude of solutions of nonline...
AbstractWe establish local well-posedness for small initial data in the usual Sobolev spaces Hs(R), ...
AbstractWe prove global, scale invariant Strichartz estimates for the linear magnetic Schrödinger eq...
In this paper, we study the nonlinear Schrödinger equation coupled with the Maxwell equation. Using ...
AbstractWe consider the Cauchy problem for a class of magnetic Schrödinger system with local and non...
We consider the dynamics of nonlinear Schrödinger equations with strong constant magnetic fields. In...
Inequalities are derived for sums and quotients of eigenvalues of magnetic Schrödinger operators wit...
AbstractWe prove some uniform in ϵ a priori estimates for solutions of the equation(∇−iA)2u−V(x)u+(λ...
AbstractThe soliton dynamics for a general class of nonlinear focusing Schrödinger problems in prese...
28 pagesInternational audienceThis paper is devoted to the spectral analysis of the magnetic Neumann...
Abstract. We study the nonlinear Schrödinger equation with time-depending magnetic field without sm...
AbstractThe paper concerns the magnetic Schrödinger operator H(a,V)=∑j=1n(1i∂∂xj−aj)2+V on Rn. Under...
We study the inverse boundary problem for a nonlinear magnetic Schr\"odinger operator on a conformal...
We use the mirror coupling of Brownian motion to show that under a β ∈ (0, 1)-dependent Kato-type as...
AbstractIn this paper we obtain multiple solutions u:RN→C of the nonlinear Schrödinger equation with...
International audienceWe justify rigorously the convergence of the amplitude of solutions of nonline...
AbstractWe establish local well-posedness for small initial data in the usual Sobolev spaces Hs(R), ...