Abstract and Applied Analysis

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

Yaojun Ye

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 903625, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449999

Digital Object Identifier
doi:10.1155/2013/903625

Mathematical Reviews number (MathSciNet)
MR3121516

Zentralblatt MATH identifier
07095476

Citation

Ye, Yaojun. Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 903625, 9 pages. doi:10.1155/2013/903625. https://projecteuclid.org/euclid.aaa/1393449999


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