Energy decay and blow-up of solutions for a class of system of generalized nonlinear Klein-Gordon equations with source and damping terms

Authors

ZEYNEP SÜMEYYE ÇELİK
ŞEVKET GÜR
ERHAN PİŞKİN

Abstract

In this work, we investigate generalized coupled nonlinear Klein-Gordon equations with nonlinear damping and source terms and initial-boundary value conditions, in a bounded domain. We obtain decay of solutions by use of Nakao inequality. The blow up of solutions with negative initial energy is also established.

DOI

10.55730/1300-0098.3428

Keywords

Decay, blow up, generalized Klein-Gordon equation

First Page

1288

Last Page

1305

Recommended Citation

ÇELİK, Z. S, GÜR, Ş, & PİŞKİN, E (2023). Energy decay and blow-up of solutions for a class of system of generalized nonlinear Klein-Gordon equations with source and damping terms. Turkish Journal of Mathematics 47 (4): 1288-1305. https://doi.org/10.55730/1300-0098.3428