2007, 2007(Special): 903-911. doi: 10.3934/proc.2007.2007.903

Remark on the scattering problem for the Klein-Gordon equation with power nonlinearity

1. 

Department of Mathematics, Osaka University, Toyonaka 563-0043, Japan

Received  September 2006 Revised  February 2007 Published  September 2007

We consider the scattering problem for the nonlinear Klein-Gordon equation. The nonlinear term of the equation behaves like a power term. We show some scattering state, which improves the known results in some sense. Our proof is based on the Strichartz type estimates.
Citation: Hironobu Sasaki. Remark on the scattering problem for the Klein-Gordon equation with power nonlinearity. Conference Publications, 2007, 2007 (Special) : 903-911. doi: 10.3934/proc.2007.2007.903
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