Orbital stability of standing waves for Schrödinger type equations with slowly decaying linear potential

DOI10.1016/J.CAMWA.2019.06.030zbMath1443.35146arXiv1812.06738OpenAlexW2905426376MaRDI QIDQ2004491

Junying Zhao, Xinfu Li

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06738

zbMATH Keywords

orbital stabilitystanding wavesconcentration compactness principleslowly decaying potentialSchrödinger type equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (9)

Existence of stable standing waves for the nonlinear Schrödinger equation with inverse-power potential and combined power-type and Choquard-type nonlinearities ⋮ Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential ⋮ Multiplicity and stability of normalized solutions to non-autonomous Schrödinger equation with mixed non-linearities ⋮ On nonlinear Schrödinger equations with attractive inverse-power potentials ⋮ Orbital Stability of Standing Waves for the Sobolev Critical Schrödinger Equation with Inverse-Power Potential ⋮ Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities ⋮ Computing the least action ground state of the nonlinear Schrödinger equation by a normalized gradient flow ⋮ Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential ⋮ On the standing waves for the X-ray free electron laser Schrödinger equation

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