ON THE CAUCHY PROBLEM FOR A NONLOCAL NONLINEAR SCHRÖDINGER EQUATION

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dc.contributor.authorWang, Hongwei
dc.contributor.authorEsfahani, Amin
dc.date.accessioned2022-11-14T08:19:01Z
dc.date.available2022-11-14T08:19:01Z
dc.date.issued2022-12
dc.description.abstractThis paper considers the one-dimensional Schrödinger equation with nonlocal nonlinearity that describes the interactions of nonlinear dispersive waves. We obtain some the local well-posedness and ill-posedness result associated with this equation in the Sobolev spaces. Moreover, we prove the existence of standing waves of this equation. As corollary, we derive the conditions under which the solutions are uniformly bounded in the energy space.en_US
dc.identifier.citationWang, H., & Esfahani, A. (2022). On the Cauchy problem for a nonlocal nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems - B, 27(12), 7185. https://doi.org/10.3934/dcdsb.2022039en_US
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/6765
dc.language.isoenen_US
dc.publisherDiscrete and Continuous Dynamical Systemsen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectType of access: Open Accessen_US
dc.subjectSchrödinger equationen_US
dc.subjectWell-posednessen_US
dc.subjectStanding waveen_US
dc.titleON THE CAUCHY PROBLEM FOR A NONLOCAL NONLINEAR SCHRÖDINGER EQUATIONen_US
dc.typeArticleen_US
workflow.import.sourcescience

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