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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Unstable ground state of nonlinear Klein-Gordon equations
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by Jalal Shatah PDF
Trans. Amer. Math. Soc. 290 (1985), 701-710 Request permission

Abstract:

In this paper we prove the instability of the ground state, i.e. least energy steady-state solution of nonlinear Klein-Gordon equations with space dimension $n \geqslant 3$.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 290 (1985), 701-710
  • MSC: Primary 35L70; Secondary 35J60, 35Q20
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0792821-7
  • MathSciNet review: 792821