Strong instability of standing waves for nonlinear Schr\"odinger equations with double power nonlinearity

zbMath1337.35138arXiv1407.0905MaRDI QIDQ5744559

Masahito Ohta, Takahiro Yamaguchi

Publication date: 18 February 2016

Full work available at URL: https://arxiv.org/abs/1407.0905

zbMATH Keywords

instabilitynonlinear Schrödinger equationblow-upstanding wave

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)

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Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement ⋮ Analysis of stability and instability for standing waves of the double power one dimensional nonlinear Schrödinger equation ⋮ Existence of a ground state and blowup problem for a class of nonlinear Schrödinger equations involving mass and energy critical exponents ⋮ Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities ⋮ Blow-up and strong instability of standing waves for the NLS-\(\delta\) equation on a star graph ⋮ Instability of standing waves for nonlinear Schrödinger equation with delta potential ⋮ Strong instability of standing waves for nonlinear Schrödinger equations with attractive inverse power potential ⋮ Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities ⋮ Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations ⋮ Strong Instability of Standing Waves for Nonlinear Schrödinger Equations with Harmonic Potential

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