On global small amplitude solutions to systems of cubic nonlinear Klein–Gordon equations with different mass terms in one space dimension-Reference-Cited by-同舟云学术

On global small amplitude solutions to systems of cubic nonlinear Klein–Gordon equations with different mass terms in one space dimension

Published:2003-08 Issue:2 Volume:192 Page:308-325
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Sunagawa Hideaki

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference23 articles.

1. The null condition and global existence of solutions to systems of wave equations with different speeds;Agemi,1998

2. Minoration du temps d'existence pour l’équation de Klein–Gordon non-linéaire en dimension 1 d'espace;Delort;Ann. Inst. Henri Poincaré (Analyse non linéaire),1999

3. Existence globale et comportement asymptotique pour l’équation de Klein–Gordon quasi linéaire à données petites en dimension 1;Delort;Ann. Sci. Ec. Norm. Sup. 4e Sér.,2001

4. Global solution of the system of wave and Klein–Gordon equations;Georgiev;Math. Z.,1990

5. Decay estimates for the Klein–Gordon equation;Georgiev;Comm. Partial Differential Equations,1992

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