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Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4277

Title: The lifespan of classical solutions to systems of nonlinear wave equations
Authors: Takamura, Hiroyuki
Issue Date: 2000
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Citation: Hiroyuki Takamura, "The lifespan of classical solutions to systems of nonlinear wave equations", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (2000) suppl.2, pp. 225-243.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (2000) suppl.2
Abstract: Any results in this talk are based on a joint paper with R. Agemi & Y. Kurokawa [1]. The existence of the critical curve for p-q systems of nonlinear wave equations was already established by D. Del Santo & V. Georgiev & E. Mitidieri [3] except for the critical case. Our main purpose is to prove a blow-up the orem for which the nonlinearity (p, q) is just on the critical curve in three space dimensions. Moreover, the lover and upper bounds of the lifespan of solutions are precisely estimated including the sub-critical case.
URI: http://hdl.handle.net/10077/4277
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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