数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 893-906.doi: 10.1016/S0252-9602(12)60068-X

• 论文 • 上一篇    下一篇

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

Jeong Ja Bae   

  1. Department of Mathematics, Dongeui University, Pusan 614-714, Korea
  • 收稿日期:2010-01-22 出版日期:2012-05-20 发布日期:2012-05-20

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

Jeong Ja Bae   

  1. Department of Mathematics, Dongeui University, Pusan 614-714, Korea
  • Received:2010-01-22 Online:2012-05-20 Published:2012-05-20

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:

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.

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

中图分类号: 

  • 35L05