Standing waves for semilinear Schrödinger equations with discontinuous dispersion
Abstract
We consider here semilinear Schrödinger equations with a non standard dispersion that is discontinuous at x = 0. We first establish the existence and uniqueness of standing wave solutions for these equations. We then study the orbital stability of these standing wave into a subspace of the energy space that where classical methods as the concentration-compactness method of P.L. Lions can be used.
Domains
Mathematics [math]
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