数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (1): 79-98.

• 论文 • 上一篇    下一篇

EXISTENCE TIME FOR SOLUTIONS OF SEMILINEAR DIFFERENT SPEED KLEIN-GORDON SYSTEM WITH WEAK DECAY DATA IN 1D

 方道元   

  1. Center for Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
  • 出版日期:2002-01-14 发布日期:2002-01-14
  • 基金资助:

    The author was supported by NSF of China 19671072 and partially by 19971077

EXISTENCE TIME FOR SOLUTIONS OF SEMILINEAR DIFFERENT SPEED KLEIN-GORDON SYSTEM WITH WEAK DECAY DATA IN 1D

 FANG Dao-Yuan   

  1. Center for Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
  • Online:2002-01-14 Published:2002-01-14
  • Supported by:

    The author was supported by NSF of China 19671072 and partially by 19971077

摘要:

A ? −4/3| log ?|−2 result is obtained for the existence time of solutions of semi-linear different speed Klein-Gordon system in one space dimension for weakly decaying Cauchy data, of size ?, in certain circumstances of nonlinearity.

关键词: Weakly decaying Cauchy data, existence time, Klein-Gordon equations with different speeds

Abstract:

A ? −4/3| log ?|−2 result is obtained for the existence time of solutions of semi-linear different speed Klein-Gordon system in one space dimension for weakly decaying Cauchy data, of size ?, in certain circumstances of nonlinearity.

Key words: Weakly decaying Cauchy data, existence time, Klein-Gordon equations with different speeds

中图分类号: 

  • 35L70