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

作者：Miao Chanping^*; Xu Guixiang; Zhao Lifeng

来源：Journal de Mathematiques Pures et Appliquees, 2009, 91(1): 49-79.

DOI：10.1016/j.matpur.2008.09.003

• Hartree equation
• Global well-posedness
• Scattering
• Mass-critical

We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Hartree equation iu(t) Delta u = /-(vertical bar x vertical bar(-2) * vertical bar u vertical bar(2))u for large spherically symmetric L(x)(2)(R(d)) initial data; in the focusing case we require, of course, that the mass is strictly less than that of the ground state.

• 出版日期2009-1
• 单位中国科学技术大学; 北京应用物理与计算数学研究所