Document Type : Research Paper

Authors

• Abir Bounaama
• Messaoud Maouni
• Amar Ouaoua

Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS). University of 20 August 1955, Skikda, Algeria

Abstract

In this paper, we consider the boundary value problem related to the quasilinear hyperbolic equation with nonlinear source terms. We start by showing the local existence theorem. Then, we prove the global existence and the decay of the energy by using Nakao's inequality, finally we get the finite time blow up of solutions.

Keywords

• blow up
• energy function
• quasilinear hyperbolic equation
• source terms