Unstable ground state of nonlinear Klein-Gordon equations-Reference-Cited by-同舟云学术

Unstable ground state of nonlinear Klein-Gordon equations

Published:1985 Issue:2 Volume:290 Page:701-710
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Shatah Jalal

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 ⩾ 3 n \geqslant 3 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1985-290-02/S0002-9947-1985-0792821-7/S0002-9947-1985-0792821-7.pdf

Reference13 articles.

1. D. L. T. Anderson, J. Math. Phys. 12 (1971), 945-952.

2. H. Berestycki and T. Cazenave (to appear).

3. Comments on nonlinear wave equations as models for elementary particles;Derrick, G. H.;J. Mathematical Phys.,1964

4. On uniqueness of weak solutions to semilinear wave equations;Glassey, Robert;Comm. Partial Differential Equations,1982

5. Clayton Keller (to appear).

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