17 citations · 32 across the 9 of their papers we have counts for
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WKB analysis of non-elliptic nonlinear Schrodinger equations
Rémi Carles, Clément Gallo
We justify the WKB analysis for generalized nonlinear Schr{ö}dinger equations (NLS), including the hyperbolic NLS and the Davey-Stewartson II system. Since the leading order system…
WKB analysis of generalized derivative nonlinear Schrodinger equations without hyperbolicity
Rémi Carles, Clément Gallo
We consider the semi-classical limit of nonlinear Schrodinger equations in the presence of both a polynomial nonlinearity and thederivative in space of a polynomial nonlinearity. B…
Scattering for the nonlinear Schrodinger equation with a general one-dimensional confinement
Rémi Carles, Clément Gallo
We consider the defocusing nonlinear Schr{ö}dinger equation in several space dimensions, in the presence of an external potential depending on only one space vari-able. This potent…
The ground state of two coupled Gross-Pitaevskii equations in the Thomas-Fermi limit
Clement Gallo
We prove existence and uniqueness of a positive solution to a system of two coupled Gross-Pitaevskii equations. We give a full asymptotic expansion of this solution into powers of…
On the Thomas-Fermi approximation of the ground state in a PT-symmetric confining potential
Clement Gallo, Dmitry Pelinovsky
For the stationary Gross-Pitaevskii equation with harmonic real and linear imaginary potentials in the space of one dimension, we study the ground state in the limit of large densi…
Finite time extinction by nonlinear damping for Schrodinger equation
Rémi Carles, Clément Gallo
We consider the Schrodinger equation on a compact manifold, in the presence of a nonlinear damping term, which is homogeneous and sublinear. For initial data in the energy space, w…