Dept. Math, Hokkaido Univ. EPrints Server

Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds

Preprint Series # 688
Katayama, Soichiro and Yokoyama, Kazuyoshi Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds. (2005);

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Abstract

We give a global existence theorem to systems of quasilinear wave equations in three space dimensions, especially for the multiple-speed cases. It covers a wide class of quadratic nonlinearities which may depend on unknowns as well as their first and second derivatives. Our proof is achieved through total use of pointwise and $L^2$-estimates concerning unknowns and their first and second derivatives.

Item Type:Preprint
Additional Information:30 copies
Uncontrolled Keywords:quasi-linear wave equation, global existence, null condition
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:851