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

Çelik, Zeynep SümeyyeGür, ŞevketPişkin, Erhan2023-10-102023-10-102023Çelik, Z. S., Gür, Ş. ve Pişkin, 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), 1288-1305.1300-0098https://journals.tubitak.gov.tr/math/vol47/iss4/18/https://hdl.handle.net/11468/12785https://search.trdizin.gov.tr/yayin/detay/1180476In 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.eninfo:eu-repo/semantics/openAccessBlow upDecayGeneralized Klein-Gordon equationEnergy decay and blow-up of solutions for a class of system of generalized nonlinear Klein-Gordon equations with source and damping termsEnergy decay and blow-up of solutions for a class of system of generalized nonlinear Klein-Gordon equations with source and damping termsArticle47412881305WOS:0009960229000172-s2.0-85160351814118047610.55730/1300-0098.3428Q2N/A