Blow-up criteria and instability of standing waves for the fractional Schrödinger Poisson equation

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dc.contributor.authorMo, Yichun
dc.contributor.authorZhu, Min
dc.contributor.authorFeng, Binhua
dc.date.accessioned2023-05-23T18:47:44Z
dc.date.available2023-05-23T18:47:44Z
dc.date.issued2023-03-06
dc.description.abstractIn this article, we consider blow-up criteria and instability of standing waves for the fractional Schrödinger-Poisson equation. By using the localized virial estimates, we establish the blow-up criteria for non-radial solutions in both mass-critical and mass-supercritical cases. Based on these blow-up criteria and three variational characterizations of the ground state, we prove that the standing waves are strongly unstable. These obtained results extend the corresponding ones presented in the literature.
dc.description.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMo, Y., Zhu, M., & Feng, B. (2023). Blow-up criteria and instability of standing waves for the fractional Schrödinger Poisson equation. <i>Electronic Journal of Differential Equations, 2023</i>(24), pp. 1-23.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16859
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSchrödinger-Poisson equation
dc.subjectBlow-up criteria
dc.subjectStrong instability
dc.subjectStanding waves
dc.subjectWell-posedness
dc.titleBlow-up criteria and instability of standing waves for the fractional Schrödinger Poisson equation
dc.typeArticle

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