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In this thesis existence and uniqueness of the solution of a nonlinear Schrödinger equation in L² with multiplicative white noise is proven under some assumptions. Furthermore, pathwise L²-norm conservation of the solution is studied.AnalysisApplied mathematicsElectrical Engineering, Mathematics and Computer Scienc
International audienceWe consider a non linear Schrödinger equation on a compact manifold of dimensi...
In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schr\"...
Arnaud Debussche † Laurent Di Menza∗ We describe several results obtained recently on stochastic non...
We consider the linear and nonlinear Schrödinger equation with a spatial white noise as a potential ...
International audienceUnder certain scaling the nonlinear Schrödinger equation with random dispersio...
We solve the Schrödinger equation with logarithmic nonlinearity and multiplicative spatial white noi...
Abstract. Under certain scaling the nonlinear Schrödinger equation with random dispersion converges...
AbstractIn this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche ...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
ABSTRACT. The nonlinear Schrödinger equation with nonlinearity uux is shown to be illposed in any So...
AbstractGlobal existence and uniqueness is proved for a stochastic reaction-diffusion equation with ...
International audienceWe consider a non linear Schrödinger equation on a compact manifold of dimensi...
In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schr\"...
Arnaud Debussche † Laurent Di Menza∗ We describe several results obtained recently on stochastic non...
We consider the linear and nonlinear Schrödinger equation with a spatial white noise as a potential ...
International audienceUnder certain scaling the nonlinear Schrödinger equation with random dispersio...
We solve the Schrödinger equation with logarithmic nonlinearity and multiplicative spatial white noi...
Abstract. Under certain scaling the nonlinear Schrödinger equation with random dispersion converges...
AbstractIn this article, we improve the Strichartz estimates obtained in A. de Bouard, A. Debussche ...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
ABSTRACT. The nonlinear Schrödinger equation with nonlinearity uux is shown to be illposed in any So...
AbstractGlobal existence and uniqueness is proved for a stochastic reaction-diffusion equation with ...
International audienceWe consider a non linear Schrödinger equation on a compact manifold of dimensi...
In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schr\"...
Arnaud Debussche † Laurent Di Menza∗ We describe several results obtained recently on stochastic non...
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