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Ye, Yaojun

Existence and decay estimate of global solutions to systems of nonlinear wave equations with damping and source terms. (English) Zbl 1470.35227

Abstr. Appl. Anal. 2013, Article ID 903625, 9 p. (2013).
Summary: 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.

Cited in 3 Documents

MSC:

35L20 Initial-boundary value problems for second-order hyperbolic equations
35B40 Asymptotic behavior of solutions to PDEs
35A01 Existence problems for PDEs: global existence, local existence, non-existence
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References:

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