Global Nonexistence for a Viscoelastic Wave Equation with Boundary Dissipative

Abstract

We consider a mixed problem for a viscoelastic nonilinear wave equation with boundary dissipative lineal and nonlinear source term. We prove the existence and uniqueness of its local solution by the Faedo-Galerkin method and show the blow-up of solutions by the energy method.

Keywords

• Ecuación de onda viscoelástica
• solución local
• método de Faedo-Galerkin
• explosión de soluciones
• método de la energía.