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.
Citation
Soichiro Katayama. Kazuyoshi Yokoyama. "Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds." Osaka J. Math. 43 (2) 283 - 326, June 2006.
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