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The Cauchy Problem of the Hartree Equation
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@Article{JPDE-21-22,
author = {},
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}
}
TY - JOUR
T1 - The Cauchy Problem of the Hartree Equation
JO - Journal of Partial Differential Equations
VL - 1
SP - 22
EP - 44
PY - 2008
DA - 2008/02
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5267.html
KW - Hartree equation
KW - well-posedness
KW - illposedness
KW - Galilean invariance
KW - dispersion analysis
KW - scattering
KW - asymptotically free solutions
AB - 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.
Changxing Miao, Guixiang Xu & Lifeng Zhao. (2019). The Cauchy Problem of the Hartree Equation.
Journal of Partial Differential Equations. 21 (1).
22-44.
doi:
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