Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (5): 1203-1215.doi: 10.1016/S0252-9602(09)60097-7

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GLOBAL EXISTENCE FOR QUASILINEAR  |WAVE EQUATION WITH A LOCALIZED WEAKLY NONLINEAR DISSIPATION IN EXTERIOR DOMAINS

 Jeong Ja Bae   

  1. Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea
  • Received:2007-04-13 Online:2009-09-20 Published:2009-09-20

Abstract:

It is  proved that the global existence for the nonhomogeneous quasilinear wave equation with a localized weakly nonlinear dissipation in exterior domains.

Key words: quasilinear wave equation, localized weakly nonlinear dissipation, exterior domains

CLC Number: 

  • 35L15
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