Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (1): 15-21.doi: 10.1016/S0252-9602(11)60203-8

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INTERACTION MORAWETZ ESTIMATE AND A SIMPLIFIED PROOF ON THE ENERGY SCATTERING FOR HARTREE EQUAITONS

 XU Gui-Xiang, YU Jia   

  1. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009,\ Beijing 100088, China;School of Mathematics and Systems Science, Beihang University, LIMB of the Ministry of Education,\\ Beijing |100191, China
  • Received:2007-05-31 Revised:2007-08-19 Online:2011-01-20 Published:2011-01-20
  • Supported by:

    Xu G and   Yuan J  were partly supported by the NSF of China (10801015, 10901012). The authors would like to thank the referee for his valuable comments and suggestions.

Abstract:

In this article, we give a simple proof on the energy scattering for the Hartree equations using the interaction Morawetz
estimate that was originally introduced in [5].

Key words: Scattering theory, Hartree equation, wave operators,  asymptotic completeness

CLC Number: 

  • 35P25
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