Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (1): 255-274.doi: 10.1016/S0252-9602(14)60155-7

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GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE MASS-CRITICAL HARTREE EQUATION IN HIGH DIMENSIONS

XIA Hong Qiang   

  1. College of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, China
  • Received:2013-07-30 Revised:2014-04-20 Online:2015-01-20 Published:2015-01-20

Abstract:

We obtain global well-posedness and scattering, and global L2(d+2)dt,x spacetimebounds for solutions to the defocusing mass-critical Hartree equation in Rt × Rdx, d  5.

Key words: Hartree equation, global well-posedness, scattering, mass-critical

CLC Number: 

  • 35Q55
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