Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity
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AbstractThis paper is devoted to the mathematical analysis of a class of nonlinear fractional Schrödinger equations with a general Hartree-type integrand. We show the well-posedness of the associated Cauchy problem and prove the existence and stability of standing waves under suitable assumptions on the nonlinearity. Our proofs rely on a contraction argument in mixed functional spaces and the concentration-compactness method. © 2015 World Scientific Publishing Company
CitationCho Y, Fall MM, Hajaiej H, Markowich PA, Trabelsi S (2016) Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity. Analysis and Applications: 1–31. Available: http://dx.doi.org/10.1142/S0219530516500056.
PublisherWorld Scientific Pub Co Pte Lt
JournalAnalysis and Applications