Global well-posedness and scattering for the mass-critical Hartree equation with radial data

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• 作者：Changxing Miao ; Guixiang Xu ; Lifeng Zhao
• 关键词：Hartree equation ; Global well-posedness ; Scattering ; Mass-critical
• 刊名：Journal des Mathematiques Pures et Appliquees
• 出版年：2009
• 出版时间：January 2009
• 年：2009
• 卷：91
• 期：1
• 页码：49-79
• 全文大小：308 K

文摘

We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Hartree equation iu_t+Δu=±(x⁻²*u²)u for large spherically symmetric initial data; in the focusing case we require, of course, that the mass is strictly less than that of the ground state.