6533b85bfe1ef96bd12bbea9

RESEARCH PRODUCT

On the critical curve for systems of hyperbolic inequalities in an exterior domain of the half-space

Mohamed JleliBessem SametCalogero Vetro

subject

Settore MAT/05 - Analisi MatematicaApplied MathematicsBlow-upHyperbolic inequalitiesWave equations and inequalitiesHalf-spaceAnalysisExterior domain

description

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.

yearjournalcountryeditionlanguage
2023-10-01
10.1016/j.jmaa.2023.127325https://hdl.handle.net/10447/594293