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The lifespan of classical solutions to systems of nonlinear wave equations
Takamura, Hiroyuki
2000
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.
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
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.
Languages
en
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