ON TRANSMISSION PROBLEM FOR KIRCHHOFF TYPE WAVE EQUATION WITH A LOCALIZED NONLINEAR DISSIPATION IN BOUNDED DOMAIN

doi:10.1016/S0252-9602(12)60068-X

摘要/Abstract

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 physi-cally different types of materials, one component is a Kirchhoff type wave equation with nonlinear time dependent localized dissipation which is effective only on a neighborhood of certain part of the boundary, while the other is a Kirchhoff type wave equation with nonlinear memory.

关键词: Existence of solution, uniform decay, transmission problem, Kirchhoff type wave equation, boundary value problem, localized dissipation

Abstract:

Key words: Existence of solution, uniform decay, transmission problem, Kirchhoff type wave equation, boundary value problem, localized dissipation

中图分类号:

35L05

Jeong Ja Bae. ON TRANSMISSION PROBLEM FOR KIRCHHOFF TYPE WAVE EQUATION WITH A LOCALIZED NONLINEAR DISSIPATION IN BOUNDED DOMAIN[J]. 数学物理学报(英文版), 2012, 32(3): 893-906.

Jeong Ja Bae. ON TRANSMISSION PROBLEM FOR KIRCHHOFF TYPE WAVE EQUATION WITH A LOCALIZED NONLINEAR DISSIPATION IN BOUNDED DOMAIN[J]. Acta mathematica scientia,Series B, 2012, 32(3): 893-906.

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