Dergiler / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 4
Global existence, decay and blow up solutions for coupled nonlinear wave equations with damping and source terms
- Sayfa
- 633–651
- DOI
- —
Özet
We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain. The decay estimates of the energy function are established by using Nakao's inequality. The nonexistence of global solutions is discussed under some conditions on the given parameters.
Abstract
We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain. The decay estimates of the energy function are established by using Nakao's inequality. The nonexistence of global solutions is discussed under some conditions on the given parameters.