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http://hdl.handle.net/10077/4374
Title: | Global existence and blow-up for a hyperbolic system in three space dimensions | Authors: | Del Santo, D. | Issue Date: | 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. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 29 (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 $\mathbf{R_{\textrm{x}}^{\textrm{3}}}\times[0,+\infty[$ |
Type: | Article | URI: | http://hdl.handle.net/10077/4374 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.29 (1997) |
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