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

DOI

10.55730/1300-0098.3428

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.

Keywords

Decay, blow up, generalized Klein-Gordon equation

First Page

1288

Last Page

1305

Recommended Citation

ÇELİK, ZEYNEP SÜMEYYE; GÜR, ŞEVKET; and PİŞKİN, ERHAN (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: Vol. 47: No. 4, Article 18. https://doi.org/10.55730/1300-0098.3428
Available at: https://journals.tubitak.gov.tr/math/vol47/iss4/18