We consider the scattering problem for the Hartree equation with potential|x|<sup>-1</sup>in a space of dimension n≥2.We prove the existence of H<sup>m</sup>-modified wave operator for Hartree...We consider the scattering problem for the Hartree equation with potential|x|<sup>-1</sup>in a space of dimension n≥2.We prove the existence of H<sup>m</sup>-modified wave operator for Hartree equation on a dense set of a neighborhood of zero in H<sup>m</sup>（R<sup>n</sup>）,meanwhile,we obtain also the global existence for the Cauchy problem of Hartree equation in a space of dimension n≥2.展开更多
基金This project is supported by the National Natural Science Foundation of China,19601005
文摘We consider the scattering problem for the Hartree equation with potential|x|<sup>-1</sup>in a space of dimension n≥2.We prove the existence of H<sup>m</sup>-modified wave operator for Hartree equation on a dense set of a neighborhood of zero in H<sup>m</sup>（R<sup>n</sup>）,meanwhile,we obtain also the global existence for the Cauchy problem of Hartree equation in a space of dimension n≥2.
