数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (S1): 11-15.

• Articles • 上一篇    下一篇

THE EXPONENT DECAY OF NONLINEAR WAVES

盛其荣   

  1. Department of Mathematics, Xinjiang University, Wulumogi 830046, China
  • 收稿日期:1992-01-22 修回日期:1993-06-01 出版日期:1995-12-31 发布日期:1995-12-31
  • 基金资助:
    The Project Supported by National Natural Science Foundation of China.

THE EXPONENT DECAY OF NONLINEAR WAVES

Sheng Qirong   

  1. Department of Mathematics, Xinjiang University, Wulumogi 830046, China
  • Received:1992-01-22 Revised:1993-06-01 Online:1995-12-31 Published:1995-12-31
  • Supported by:
    The Project Supported by National Natural Science Foundation of China.

摘要: This paper deals with the initial boundary value problems for the semilinear wave equations with variable coefficient principal part. By virtue of compactness uniqueness argument as well as the usual energy estimates, we obtain some sufficient conditions which ensure the energy admits exponent decay.

关键词: Nonlinear, Initial boundary value, Exponent decay, Energy

Abstract: This paper deals with the initial boundary value problems for the semilinear wave equations with variable coefficient principal part. By virtue of compactness uniqueness argument as well as the usual energy estimates, we obtain some sufficient conditions which ensure the energy admits exponent decay.

Key words: Nonlinear, Initial boundary value, Exponent decay, Energy