Special Session 131: Recent progress on singularities formations of some evolution partial differential equations
Hyperbolic inequalities in an exterior domain: A general blow-up result for degenerate hyperbolic inequalities in an exterior domain
Mokhtar KIRANE
Khalifa University United Arab Emirates
Co-Author(s): M. Jleli, M. Kirane, B. Samet
Abstract:
We consider a degenerate hyperbolic inequality in an exterior domain under three types of boundary conditions: Dirichlet-type, Neumann-type, and Robin-type boundary conditions. Using a unified approach, we show that all the considered problems have the same Fujita critical exponent. Moreover, we answer some open questions from the literature regarding the critical case.