On stability of standing waves of nonlinear Dirac equations

Details On stability of standing waves of nonlinear Dirac equations On stability of standing waves of nonlinear Dirac equations

2011-03-23

arxiv.org/abs/1103.4452v3

Mathematics

Analysis of PDEs

We have corrected the hypotheses adding an extra symmetry to our class of solutions

Scientific paper

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 Schr\"odinger equation, because of the strong indefiniteness of the energy.

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