Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms

Yaojun Ye

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

The initial-boundary value problem for a class of nonlinear wave equations system in bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set and obtain the asymptotic stability of global solutions through the use of a difference inequality.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:903625

DOI: 10.1155/2013/903625

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