Global existence for systems of wave equations with nonresonant nonlinearities and null forms

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:209

Article

Katayama, S

关键词: nonlinear wave equation;    global existence;    null condition;    multiple speeds;    nonresonant nonlinearity;   

DOI  :  10.1016/j.jde.2004.09.012

来源: Elsevier

【 摘 要 】

We consider the Cauchy problem for systems of nonlinear wave equations with different propagation speeds in three space dimensions. We prove global existence of small amplitude solutions for systems with some nonresonant nonlinearities which may depend on both of the unknowns and their derivatives. Our method here can be also adopted to treat the null forms. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free