Small solutions of nonlinear Schrödinger equations near first excited states
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Publication:442197
DOI10.1016/j.jfa.2012.04.017zbMath1244.35136arXiv1008.3581OpenAlexW2964000852MaRDI QIDQ442197
Kenji Nakanishi, Tai-Peng Tsai, Phan Van Tuoc
Publication date: 10 August 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.3581
General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (7)
On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential ⋮ On small energy stabilization in the NLKG with a trapping potential ⋮ On weak interaction between a ground state and a non-trapping potential ⋮ On orbital instability of spectrally stable vortices of the NLS in the plane ⋮ Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential
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