数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (5): 1395-1403.doi: 10.1016/S0252-9602(14)60091-6

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GENERAL DECAY OF A TRANSMISSION PROBLEM FOR KIRCHHOFF TYPE WAVE EQUATIONS WITH BOUNDARY MEMORY CONDITION

Sun Hye PARK   

  1. Center for Education Accreditation, Pusan National University, Busan 609-735, South Korea
  • 收稿日期:2013-08-26 修回日期:2013-11-13 出版日期:2014-09-20 发布日期:2014-09-20
  • 基金资助:

    This research was supported by Basic Science Re-search Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (20110007870).

GENERAL DECAY OF A TRANSMISSION PROBLEM FOR KIRCHHOFF TYPE WAVE EQUATIONS WITH BOUNDARY MEMORY CONDITION

Sun Hye PARK   

  1. Center for Education Accreditation, Pusan National University, Busan 609-735, South Korea
  • Received:2013-08-26 Revised:2013-11-13 Online:2014-09-20 Published:2014-09-20
  • Supported by:

    This research was supported by Basic Science Re-search Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (20110007870).

摘要:

In this paper, we investigate the influence of boundary dissipation on the de-cay property of solutions for a transmission problem of Kirchhoff type wave equation with boundary memory condition. By introducing suitable energy and Lyapunov functionals, we establish a general decay estimate for the energy, which depends on the behavior of relaxation function.

关键词: transmission problem, Kirchhoff type, general decay, memory term, relaxation function

Abstract:

In this paper, we investigate the influence of boundary dissipation on the de-cay property of solutions for a transmission problem of Kirchhoff type wave equation with boundary memory condition. By introducing suitable energy and Lyapunov functionals, we establish a general decay estimate for the energy, which depends on the behavior of relaxation function.

Key words: transmission problem, Kirchhoff type, general decay, memory term, relaxation function

中图分类号: 

  • 35L70