Blow-up for the wave equation with nonlinear source and boundary damping terms

Abstract

The paper deals with blow--up for the solutions of wave equation with nonlinear source and nonlinear boudary damping terms, posed in a bounded and regular domain. The initial data are posed in the energy space. The aim of the paper is to improve previous blow-up results concerning the problem.

20 pages, 2 figures

Cited by in corpus (2)

• On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources
• Blow--up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources