ON TRANSMISSION PROBLEM FOR VISCOELASTIC WAVE EQUATION WITH A LOCALIZED A NONLINEAR DISSIPATION  

作　　者：Jeong Ja BAE Seong Sik KIM 

机构地区：[1]Department of Mathematics,Dongeui University,Pusan 614-714,Korea

出　　处：《Acta Mathematica Scientia》2013年第2期362-374,共13页数学物理学报（B辑英文版）

摘　　要：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 memoryIn 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

关 键 词：Existence of solution uniform decay transmission problem boundary valueproblem localized dissipation 

分 类 号：O175[理学—数学]