Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (1): 79-98.

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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

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

CLC Number: 

  • 35L70
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