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

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

We obtain global well-posedness and scattering, and global L2（d＋2）/d t,x spacetime bounds for solutions to the defocusing mass-critical Hartree equation in Rt×Rx^d,d≥5.

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Veröffentlicht in:Acta mathematica scientia 2015, Vol.35 (1), p.255-274
1. Verfasser: 夏红强
Format: Artikel
Sprache:eng
Schlagworte:
35Q55
Defocusing
global well-posedness
Hartree equation
mass-critical
Mathematical analysis
Scattering
保留时间
哈特
散射
方程
时空
适定性
高维
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Beschreibung
Zusammenfassung:We obtain global well-posedness and scattering, and global L2（d＋2）/d t,x spacetime bounds for solutions to the defocusing mass-critical Hartree equation in Rt×Rx^d,d≥5.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(14)60155-7