Abstract
We consider the Cauchy problem for a system of semilinear wave equations with multiple propagation speeds in three space dimensions. We obtain the sharp lower bound for the lifespan of radially symmetric solutions to a class of these systems. We also show global existence of radially symmetric solutions to another class of systems with small initial data.
Citation
Soichiro Katayama. "Lifespan for radially symmetric solutions to systems of semilinear wave equations with multiple speeds." Osaka J. Math. 45 (3) 691 - 717, September 2008.
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