We consider the linear and nonlinear Schrödinger equation with a spatial white noise as a potential in dimension 2. We prove existence and uniqueness of solutions thanks to a change of unknown originally used in [8] and conserved quantities
We show that the global odd solutions of a cubic Schrödinger equation with potential, with small smo...
The nonlinear Schrödinger equation has received a great deal of attention from mathematicians, in pa...
Abstract. In this paper, we discuss the application of white noise analysis to the Feynman path inte...
International audienceWe consider the linear and nonlinear Schrödinger equation with a spatial white...
In this thesis existence and uniqueness of the solution of a nonlinear Schrödinger equation in L² wi...
We solve the Schrödinger equation with logarithmic nonlinearity and multiplicative spatial white noi...
In this paper, we prove the global wellposedness of the Gross-Pitaevskii equation with white noise p...
AbstractIn this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche ...
International audienceUnder certain scaling the nonlinear Schrödinger equation with random dispersio...
AbstractWe consider a stochastic Korteweg–de Vries equation on the real line. The noise is additive....
AbstractIn this note, we study a weakly damped nonlinear Schrödinger equation in a bounded two-dimen...
We consider the Cauchy problem of a nonlocal nonlinear Schrödinger equation with self-induced parity...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
We study positive bound states for the equation. -ε2δu+V(x)u=K(x)f(u),x∈RN, where ε > 0 is a real pa...
International audienceWe consider a non linear Schrödinger equation on a compact manifold of dimensi...
We show that the global odd solutions of a cubic Schrödinger equation with potential, with small smo...
The nonlinear Schrödinger equation has received a great deal of attention from mathematicians, in pa...
Abstract. In this paper, we discuss the application of white noise analysis to the Feynman path inte...
International audienceWe consider the linear and nonlinear Schrödinger equation with a spatial white...
In this thesis existence and uniqueness of the solution of a nonlinear Schrödinger equation in L² wi...
We solve the Schrödinger equation with logarithmic nonlinearity and multiplicative spatial white noi...
In this paper, we prove the global wellposedness of the Gross-Pitaevskii equation with white noise p...
AbstractIn this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche ...
International audienceUnder certain scaling the nonlinear Schrödinger equation with random dispersio...
AbstractWe consider a stochastic Korteweg–de Vries equation on the real line. The noise is additive....
AbstractIn this note, we study a weakly damped nonlinear Schrödinger equation in a bounded two-dimen...
We consider the Cauchy problem of a nonlocal nonlinear Schrödinger equation with self-induced parity...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
We study positive bound states for the equation. -ε2δu+V(x)u=K(x)f(u),x∈RN, where ε > 0 is a real pa...
International audienceWe consider a non linear Schrödinger equation on a compact manifold of dimensi...
We show that the global odd solutions of a cubic Schrödinger equation with potential, with small smo...
The nonlinear Schrödinger equation has received a great deal of attention from mathematicians, in pa...
Abstract. In this paper, we discuss the application of white noise analysis to the Feynman path inte...