Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4273
Title: Global existence and blow-up of the classical solutions to systems of semilinear wave equations in three space dimensions
Authors: Ohta, Masahito
Kubo, Hideo
Issue Date: 2000
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.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (2000) suppl.2
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.
URI: http://hdl.handle.net/10077/4273
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.31 (2000) s2

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