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Article Contents

# Global existence for systems of nonlinear wave and klein-gordon equations with compactly supported initial data

The author is supported by JSPS, Grant-in-Aid for Scientific Research (C) (JSPS KAKENHI Grant Number JP26400168).
• We consider the Cauchy problem for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions. The author previously proved the small data global existence for rapidly decreasing data under a certain condition on nonlinearity. In this paper, we show that we can weaken the condition, provided that the initial data are compactly supported.

Mathematics Subject Classification: Primary: 35L70; Secondary: 35L52.

 Citation:

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