@Article{JPDE-21-22,
author = {Changxing Miao, Guixiang Xu  and Lifeng Zhao},
title = {The Cauchy Problem of the Hartree Equation},
journal = {Journal of Partial Differential Equations},
year = {2008},
volume = {21},
number = {1},
pages = {22--44},
abstract = { In this paper, we systematically study the wellposedness, illposedness of the Hartree equation, and obtain the sharp local wellposedness, the global existence in H^s, s ≥ 1 and the small scattering result in H^s for 2 < γ < n and s ≥ \frac{γ}{2}-1. In addition, we study the nonexistence of nontrivial asymptotically free solutions of the Hartree equation.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5267.html}
}