Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (2): 340-358.

• Articles • Previous Articles     Next Articles

GLOBAL EXISTENCE OF SOLUTIONS FOR QUADRATIC QUASI-LINEAR KLEIN-GORDON SYSTEMS IN ONE SPACE DIMENSION

 XUE Ru-Yang, FANG Dao-Yuan   

  • Online:2005-04-20 Published:2005-04-20
  • Supported by:

    Supported by NSF of China (10271108)

Abstract:

Consider quadratic quasi-linear Klein-Gordon systems with eventually differ-
ent masses for small, smooth, compactly supported Cauchy data in one space dimension.
It is proved that the global existence holds when a convenient null condition is satisfied by
nonlinearities.

Key words: Klein-Gordon equation, global existence;asymptotic behavior

CLC Number: 

  • 35L70
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