AbstractWe perturb a linear Schrödinger equation with Lamé potential with a small positive or negative potential. The new perturbed operator has one or more eigenvalues, at most one in each spectral gap. We then add a nonlinear term and study the stability of the corresponding nonlinear stationary waves
AbstractThe following nonlinear Schrödinger equation is studiedi∂tw+Δw+f(x,w)=0,w=w(t,x):R×RN→C,N⩾3....
This thesis is devoted to the study of standing waves for nonlinear dispersive equations, in particu...
We introduce a new notion of linear stability for standing waves of the nonlinear Schrödinger equati...
We perturb a linear Schr\"odinger equation with Lam\'e potential with a small positive or negative p...
We perturb a linear Schr\"odinger equation with Lam\'epotential with a small positive or negative po...
In the theory of nonlinear Schrödinger equations, it is expected that the solutions will either spre...
Abstract. We study the stability of standing waves eiωtφω(x) for a nonlinear Schrödinger equation w...
Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dira
We study the instability of standing waves eiωtφω(x) for a nonlinear Schrödinger equation with an a...
We consider stability of standing waves for L²-critical nonlinear Schrödinger equations with an attr...
The effect of inhomogenity of nonlinear medium is discussed concerning the stability of standing wav...
We consider the following nonlinear Schrödinger equation with a delta function potential: i∂tu = −∂...
International audienceWe study analytically and numerically the stability of the standing waves for ...
This paper is concerned with the nonlinear Schrödinger equation with an unbounded po-tential iϕt =−...
AbstractThis paper discusses a class of nonlinear Schrödinger equations with different power nonline...
AbstractThe following nonlinear Schrödinger equation is studiedi∂tw+Δw+f(x,w)=0,w=w(t,x):R×RN→C,N⩾3....
This thesis is devoted to the study of standing waves for nonlinear dispersive equations, in particu...
We introduce a new notion of linear stability for standing waves of the nonlinear Schrödinger equati...
We perturb a linear Schr\"odinger equation with Lam\'e potential with a small positive or negative p...
We perturb a linear Schr\"odinger equation with Lam\'epotential with a small positive or negative po...
In the theory of nonlinear Schrödinger equations, it is expected that the solutions will either spre...
Abstract. We study the stability of standing waves eiωtφω(x) for a nonlinear Schrödinger equation w...
Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dira
We study the instability of standing waves eiωtφω(x) for a nonlinear Schrödinger equation with an a...
We consider stability of standing waves for L²-critical nonlinear Schrödinger equations with an attr...
The effect of inhomogenity of nonlinear medium is discussed concerning the stability of standing wav...
We consider the following nonlinear Schrödinger equation with a delta function potential: i∂tu = −∂...
International audienceWe study analytically and numerically the stability of the standing waves for ...
This paper is concerned with the nonlinear Schrödinger equation with an unbounded po-tential iϕt =−...
AbstractThis paper discusses a class of nonlinear Schrödinger equations with different power nonline...
AbstractThe following nonlinear Schrödinger equation is studiedi∂tw+Δw+f(x,w)=0,w=w(t,x):R×RN→C,N⩾3....
This thesis is devoted to the study of standing waves for nonlinear dispersive equations, in particu...
We introduce a new notion of linear stability for standing waves of the nonlinear Schrödinger equati...
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