Blow-up criteria and instability of standing waves for the fractional Schrödinger Poisson equation
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Date
2023-03-06
Authors
Mo, Yichun
Zhu, Min
Feng, Binhua
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Schrödinger-Poisson equation, Blow-up criteria, Strong instability, Standing waves, Well-posedness
Citation
Mo, 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.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.