Add to ORKGWe have corrected the hypotheses adding an extra symmetry to our class of solutions.We consider the stability problem for standing waves of nonlinear Dirac models. Under a suitable definition of linear stability, and under some restriction on the spectrum, we prove at the same time orbital and asymptotic stability. We are not able to get the full result proved by Cuccagna for the nonlinear Schrödinger equation, because of the strong indefiniteness of the energy
This thesis is devoted to the study of standing waves for nonlinear dispersive equations, in particu...
International audienceWe study analytically and numerically the stability of the standing waves for ...
For the double power one dimensional nonlinear Schrödinger equation, we establish a complete classif...
We have corrected the hypotheses adding an extra symmetry to our class of solutions.We consider the ...
We consider the stability problem for standing waves of nonlinear Dirac models. Under a suitable def...
We consider the nonlinear Dirac equation in 1 + 1 dimension with scalar-scalar self interaction g2κ+...
In the theory of nonlinear Schrödinger equations, it is expected that the solutions will either spre...
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the ...
AbstractThe following nonlinear Schrödinger equation is studiedi∂tw+Δw+f(x,w)=0,w=w(t,x):R×RN→C,N⩾3....
45 pages, 3 figuresInternational audienceWe study the spectral stability of the nonlinear Dirac oper...
AbstractA condition is proved for the spectrum of nonlinear Schrödinger equations linearised at a st...
In this paper, we study local well-posedness and orbital stability of standing waves for a singularl...
We consider the nonlinear Dirac equation with Soler-type nonlinearity concentrated at one point and ...
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the l...
In the present work, we consider the existence, stability, and dynamics of solitary waves in the no...
This thesis is devoted to the study of standing waves for nonlinear dispersive equations, in particu...
International audienceWe study analytically and numerically the stability of the standing waves for ...
For the double power one dimensional nonlinear Schrödinger equation, we establish a complete classif...
We have corrected the hypotheses adding an extra symmetry to our class of solutions.We consider the ...
We consider the stability problem for standing waves of nonlinear Dirac models. Under a suitable def...
We consider the nonlinear Dirac equation in 1 + 1 dimension with scalar-scalar self interaction g2κ+...
In the theory of nonlinear Schrödinger equations, it is expected that the solutions will either spre...
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the ...
AbstractThe following nonlinear Schrödinger equation is studiedi∂tw+Δw+f(x,w)=0,w=w(t,x):R×RN→C,N⩾3....
45 pages, 3 figuresInternational audienceWe study the spectral stability of the nonlinear Dirac oper...
AbstractA condition is proved for the spectrum of nonlinear Schrödinger equations linearised at a st...
In this paper, we study local well-posedness and orbital stability of standing waves for a singularl...
We consider the nonlinear Dirac equation with Soler-type nonlinearity concentrated at one point and ...
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the l...
In the present work, we consider the existence, stability, and dynamics of solitary waves in the no...
This thesis is devoted to the study of standing waves for nonlinear dispersive equations, in particu...
International audienceWe study analytically and numerically the stability of the standing waves for ...
For the double power one dimensional nonlinear Schrödinger equation, we establish a complete classif...