On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential

DOI10.1080/17476933.2020.1779235zbMath1479.35773OpenAlexW3038076199MaRDI QIDQ5161625

Van Duong Dinh

Publication date: 1 November 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1779235

zbMATH Keywords

instabilitynonlinear Schrödinger equationground statesinverse-square potential

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

Strong instability of standing waves for the nonlinear Schrödinger equation in trapped dipolar quantum gases ⋮ Scattering solutions to nonlinear Schrödinger equation with a long range potential ⋮ Global existence, blow-up and mass concentration for the inhomogeneous nonlinear Schrödinger equation with inverse-square potential ⋮ Stability and instability of radial standing waves to NLKG equation with an inverse-square potential ⋮ Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential

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