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Global existence and blow-up of the classical solutions to systems of semilinear wave equations in three space dimensions
Ohta, Masahito
Kubo, Hideo
2000
Abstract
We consider the Cauchy problem for a system of semilinear wave equations with small initial data whose propagation speeds may be different. As for a system of quasilinear wave equations, the discrepancy of the speeds makes the maximal existence time of solutions be longer, when we treat the critical nonlinearity. In contrast with the quasilinear case, we show that for the semilinear case, such phenomena does not occur, by establishing estimates of the lifespan from upper and lover.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (2000) suppl.2
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Hideo Kubo and Masahito Ohta, "Global existence and blow-up of the classical solutions to systems of semilinear wave equations in three space dimensions", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (2000) suppl.2, pp. 145-168.
Languages
en
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