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Global existence and blow-up for a hyperbolic system in three space dimensions
Del Santo, D.
1997
Abstract
Using the technique developed by F. Jolm in $\left[7\right]$, we
study the existence and the nonexistence of global classical solutions
to the Cauchy problem for
\[
\partial_{t}^{2}u-\Delta_{x}u=\mid v\mid^{p},
\]
\[
\partial_{t}^{2}v-\Delta_{x}v=\mid u\mid^{q},
\]
in $\mathbf{R_{\textrm{x}}^{\textrm{3}}}\times[0,+\infty[$
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
29 (1997)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
D. Del Santo, "Global existence and blow-up for a hyperbolic system in three space dimensions", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 29 (1997), pp. 115-139.
Languages
en
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