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Instability of nonlinear bound states

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Abstract

We establish a sharp instability theorem for the bound states of lowest energy of the nonlinear Klein-Gordon equation,u tt−◃u+f(u)=0, and the nonlinear Schrödinger equation, −iu t−◃u+f(u)=0.

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Authors and Affiliations

  1. Courant Institute, 10012, New York, New York, USA

    Jalal Shatah

  2. Department of Mathematics, Brown University, 02912, Providence, Rhode Island, USA

    Walter Strauss

Authors
  1. Jalal Shatah
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  2. Walter Strauss
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Additional information

Communicated by A. Jaffe

Supported in part by NSF Grants MCS 81-21487 and MCS 82-01599

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Shatah, J., Strauss, W. Instability of nonlinear bound states. Commun.Math. Phys. 100, 173–190 (1985). https://doi.org/10.1007/BF01212446

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  • DOI: https://doi.org/10.1007/BF01212446

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