Global existence for systems of wave equations with nonresonant nonlinearities and null forms |
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Authors: | Soichiro Katayama |
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Institution: | Department of Mathematics, Wakayama University, 930 Sakaedani, Wakayama 640-8510, Japan |
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Abstract: | 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. |
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Keywords: | Nonlinear wave equation Global existence Null condition Multiple speeds Nonresonant nonlinearity |
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