Communications in Mathematical Physics

, Volume 100, Issue 2, pp 173–190 | Cite as

Instability of nonlinear bound states

  • Jalal Shatah
  • Walter Strauss


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


Neural Network Statistical Physic Lower Energy Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Jalal Shatah
    • 1
  • Walter Strauss
    • 2
  1. 1.Courant InstituteNew YorkUSA
  2. 2.Department of MathematicsBrown UniversityProvidenceUSA

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