Global existence, decay and blow up of solutions for a quasilinear hyperbolic equations with source terms
نویسندگان
1 Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS). University of 20 August 1955, Skikda, Algeria
2 Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS). University of 20 August 1955, Skikda, Algeria
3 Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS). University of 20 August 1955, Skikda, Algeria
doi
10.22075/ijnaa.2022.27362.3574چکیده
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.
