Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

Changxing Miao, Guixiang Xu, and Lifeng Zhao. "Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case." Colloquium Mathematicae 114.2 (2009): 213-236. <http://eudml.org/doc/283662>.

@article{ChangxingMiao2009,
abstract = {We establish global existence and scattering for radial solutions to the energy-critical focusing Hartree equation with energy and Ḣ¹ norm less than those of the ground state in $ℝ × ℝ^\{d\}$, d ≥ 5.},
author = {Changxing Miao, Guixiang Xu, Lifeng Zhao},
journal = {Colloquium Mathematicae},
keywords = {Hartree equation; global well-posedness; scattering},
language = {eng},
number = {2},
pages = {213-236},
title = {Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case},
url = {http://eudml.org/doc/283662},
volume = {114},
year = {2009},
}

TY - JOUR
AU - Changxing Miao
AU - Guixiang Xu
AU - Lifeng Zhao
TI - Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 2
SP - 213
EP - 236
AB - We establish global existence and scattering for radial solutions to the energy-critical focusing Hartree equation with energy and Ḣ¹ norm less than those of the ground state in $ℝ × ℝ^{d}$, d ≥ 5.
LA - eng
KW - Hartree equation; global well-posedness; scattering
UR - http://eudml.org/doc/283662
ER -