On the critical curve for systems of hyperbolic inequalities in an exterior domain of the half-space
- Autori: Jleli M.; Samet B.; Vetro C.
- Anno di pubblicazione: 2023
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/594293
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.