Large time asymptotics of solutions to nonlinear Klein-Gordon systems

Sunagawa, Hideaki

Osaka J. Math., Tome 42 (2005) no. 1, p. 65-83 / Harvested from Project Euclid

Résumé

Consider a nonlinear system of two Klein-Gordon equations with masses $m$ and $\mu$. We construct a solution whose amplitude is modulated by the nonlinear interaction when $\mu = m$ or $\mu = 3m$, whereas, when $\mu \ne m$ and $\mu \ne 3m$, the influence of the nonlinearity is negligible and the solution behaves like a free solution as $t \to \infty$.

Publié le : 2005-03-14
Classification:

@article{1153494315,
     author = {Sunagawa, Hideaki},
     title = {Large time asymptotics of solutions to nonlinear Klein-Gordon systems},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 65-83},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494315}
}

Sunagawa, Hideaki. Large time asymptotics of solutions to nonlinear Klein-Gordon systems. Osaka J. Math., Tome 42 (2005) no. 1, pp.  65-83. http://gdmltest.u-ga.fr/item/1153494315/