Pişkin, Erhan2024-04-242024-04-242015Pişkin, E. (2015). On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms. Boundary Value Problems, 2015(1), 1-14.1687-2770https://doi.org/10.1186/s13661-015-0395-4https://hdl.handle.net/11468/18261In this work we investigate the global existence, decay, and blow up of solutions for a quasilinear hyperbolic equation. We prove the decay estimates of the energy function by using Nakao's inequality. Also, we obtain the blow up of solutions and lifespan estimates in three different ranges of the initial energy.eninfo:eu-repo/semantics/openAccessDecayBlow upQuasilinear hyperbolic equationNonlinear damping and source termsArticleWOS:0003587786000012-s2.0-8493857076310.1186/s13661-015-0395-4Q1Q2