Acta mathematica scientia, Series B >
ON TRANSMISSION PROBLEM FOR VISCOELASTIC WAVE EQUATION WITH A LOCALIZED A NONLINEAR DISSIPATION
Received date: 2012-03-25
Revised date: 2012-09-18
Online published: 2013-03-20
In this article, we consider the global existence and decay rates of solutions for the transmission problem of Kirchhoff type wave equations consisting of two physically different types of materials, one component being a Kirchhoff type wave equation with time dependent localized dissipation which is effective only on a neighborhood of certain part of boundary, while the other being a Kirchhoff type viscoelastic wave equation with nonlinear memory.
Jeong Ja BAE , Seong Sik KIM . ON TRANSMISSION PROBLEM FOR VISCOELASTIC WAVE EQUATION WITH A LOCALIZED A NONLINEAR DISSIPATION[J]. Acta mathematica scientia, Series B, 2013 , 33(2) : 362 -374 . DOI: 10.1016/S0252-9602(13)60004-1
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