Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1112-1121.

• Articles • Previous Articles     Next Articles

Pointwise Estimates of Solutions of Generalized Benjamin-Bona-Mahony Equations in Multi Dimensions

 XU Hong-Mei, XU Ying-Ying   

  1. College of Science, Hohai University, Nanjing 210098
  • Received:2012-09-12 Revised:2013-06-03 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    国家自然科学基金(11101121)资助

Abstract:

We study the pointwise estimates of the generalized Benjamin-Bona-Mahony equations in multi dimensional space. By using Fourier analysis, pseudo-differential operators and microlocal analysis, we obtain the pointwise convergence rates of the solution. The decay rate is optimal since it is as same as for the heat equation.

Key words: Cauchy problem, Generalized Benjamin-Bona-Mahony equation, Multi , dimensions, Pointwise estimate

CLC Number: 

  • 35G25
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