We establish blow-up results for a system of semilinear hyperbolic inequalities in an exterior domain of the half-space. The considered system is investigated under an inhomogeneous Dirichlet-type boundary condition depending on both time and space variables. In certain cases, an optimal criterium of Fujita-type is derived. Our results yield naturally sharp nonexistence criteria for the corresponding stationary wave system and equation.
Jleli M., Samet B., Vetro C. (2023). On the critical curve for systems of hyperbolic inequalities in an exterior domain of the half-space. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 526(1) [10.1016/j.jmaa.2023.127325].
On the critical curve for systems of hyperbolic inequalities in an exterior domain of the half-space
Vetro C.
2023-10-01
Abstract
We establish blow-up results for a system of semilinear hyperbolic inequalities in an exterior domain of the half-space. The considered system is investigated under an inhomogeneous Dirichlet-type boundary condition depending on both time and space variables. In certain cases, an optimal criterium of Fujita-type is derived. Our results yield naturally sharp nonexistence criteria for the corresponding stationary wave system and equation.
| File | Dimensione | Formato | |
|---|---|---|---|
|
10447_594293.pdf
accesso aperto
Tipologia:
Pre-print
Dimensione
432.36 kB
Formato
Adobe PDF
|
432.36 kB | Adobe PDF | Visualizza/Apri |
|
1-s2.0-S0022247X23003281-main.pdf
accesso aperto
Descrizione: © 2023 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).
Tipologia:
Versione Editoriale
Dimensione
445.95 kB
Formato
Adobe PDF
|
445.95 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
