Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions
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We discuss the global existence of small solutions to the Cauchy problem for systems of quasilinear wave equations in three space dimensions, when their nonlinear terms have quadratic nonlinearity. A global existence theorem is established on the null condition which is extended to the condition for systems of wave equations with different propagation speeds.
- Tokyo Sugaku Kaisya Zasshi
Tokyo Sugaku Kaisya Zasshi 52(3), 609-632, 2000-07
The Mathematical Society of Japan