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Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials

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Abstract.

We show he orbital stability of the standing waves in nonlinear Schrödinger equations with a class of unbounded potentials by the method of Cazenave and Lions [3] as well as a compactness lemma.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153, Japan, e-mail: jianz@kronos.ms.u-tokyo.ac.jp, , , , , , JP

    J. Zhang

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  1. J. Zhang
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Received: March 22, 1999

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Zhang, J. Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials. Z. angew. Math. Phys. 51, 498–503 (2000). https://doi.org/10.1007/PL00001512

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  • DOI: https://doi.org/10.1007/PL00001512

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