Add to ORKG31 pagesWe consider the Schrödinger equation with a logarithmic nonlinearty and non-trivial boundary conditions at infinity. We prove that the Cauchy problem is globally well posed in the energy space, which turns out to correspond to the energy space for the standard Gross-Pitaevskii equation with a cubic nonlinearity, in small dimensions. We then characterize the solitary and travelling waves in the one dimensional case
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, o...
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, o...
We prove the global-in-time well-posedness of the one dimensional Gross-Pitaevskii equation in the e...
31 pagesWe consider the Schrödinger equation with a logarithmic nonlinearty and non-trivial boundary...
This paper presents recent results concerning the existence and qualitative properties of travelling...
In this paper, we prove the global wellposedness of the Gross-Pitaevskii equation with white noise p...
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling...
We prove that the the Cauchy problem for a Gross-Pitaevskii-Schrödinger system modelizing the moveme...
We consider the N-Laplacian Schrödinger equation strongly coupled with higher order fractional Poiss...
We study a defocusing quasilinear Schrödinger equation with nonzero conditions at infinity in dimens...
International audienceWe analyze dynamical properties of the logarithmic Schrödinger equation under ...
International audienceWe consider the one-dimensional Gross-Pitaevskii equation perturbed by a Dirac...
International audienceExplicit solitary waves are known to exist for the Kadomtsev-Petviashvili-I (K...
We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions....
We consider the Gross-Pitaevskii equation in 1 space dimension with a N-well trapping potential. We ...
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, o...
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, o...
We prove the global-in-time well-posedness of the one dimensional Gross-Pitaevskii equation in the e...
31 pagesWe consider the Schrödinger equation with a logarithmic nonlinearty and non-trivial boundary...
This paper presents recent results concerning the existence and qualitative properties of travelling...
In this paper, we prove the global wellposedness of the Gross-Pitaevskii equation with white noise p...
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling...
We prove that the the Cauchy problem for a Gross-Pitaevskii-Schrödinger system modelizing the moveme...
We consider the N-Laplacian Schrödinger equation strongly coupled with higher order fractional Poiss...
We study a defocusing quasilinear Schrödinger equation with nonzero conditions at infinity in dimens...
International audienceWe analyze dynamical properties of the logarithmic Schrödinger equation under ...
International audienceWe consider the one-dimensional Gross-Pitaevskii equation perturbed by a Dirac...
International audienceExplicit solitary waves are known to exist for the Kadomtsev-Petviashvili-I (K...
We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions....
We consider the Gross-Pitaevskii equation in 1 space dimension with a N-well trapping potential. We ...
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, o...
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, o...
We prove the global-in-time well-posedness of the one dimensional Gross-Pitaevskii equation in the e...