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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.31 (2000) s2 >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4277
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| 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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