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Finite time blow-up for solutions of a hyperbolic system: the critical case
Pantarrotas, Atanasio
2000
Abstract
It has already been proved that for the systems forming
by m wave equations containing polynomial nonlinearities there
exists a manifold that bounds the region of the blow-up in the
half-space to which belong the parameters of nonlinearity.
Here we prove the formation of singularities if the parameters
belong to the critical manifold in three space dimensions.
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
Atanasio Pantarrotas, "Finite time blow-up for solutions of a hyperbolic system: the critical case", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (2000) suppl.2, pp. 209-223.
Languages
en
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