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Turkish Journal of Mathematics

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.

DOI

10.3906/mat-1110-48

Keywords

Decay rate, blow up, initial boundary value problem, nonlinear wave equations

First Page

633

Last Page

651

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