Year: 2008
Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-JPDE-5267
Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 1 : pp. 22–44
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Hartree equation