On the blow-up phenomenon for the mass-critical focusing Hartree equation in ℝ⁴

Changxing Miao, Guixiang Xu, and Lifeng Zhao. "On the blow-up phenomenon for the mass-critical focusing Hartree equation in ℝ⁴." Colloquium Mathematicae 119.1 (2010): 23-50. <http://eudml.org/doc/283550>.

@article{ChangxingMiao2010,
abstract = {We characterize the dynamics of the finite time blow-up solutions with minimal mass for the focusing mass-critical Hartree equation with H¹(ℝ⁴) data and L²(ℝ⁴) data, where we make use of the refined Gagliardo-Nirenberg inequality of convolution type and the profile decomposition. Moreover, we analyze the mass concentration phenomenon of such blow-up solutions.},
author = {Changxing Miao, Guixiang Xu, Lifeng Zhao},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {23-50},
title = {On the blow-up phenomenon for the mass-critical focusing Hartree equation in ℝ⁴},
url = {http://eudml.org/doc/283550},
volume = {119},
year = {2010},
}

TY - JOUR
AU - Changxing Miao
AU - Guixiang Xu
AU - Lifeng Zhao
TI - On the blow-up phenomenon for the mass-critical focusing Hartree equation in ℝ⁴
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 1
SP - 23
EP - 50
AB - We characterize the dynamics of the finite time blow-up solutions with minimal mass for the focusing mass-critical Hartree equation with H¹(ℝ⁴) data and L²(ℝ⁴) data, where we make use of the refined Gagliardo-Nirenberg inequality of convolution type and the profile decomposition. Moreover, we analyze the mass concentration phenomenon of such blow-up solutions.
LA - eng
UR - http://eudml.org/doc/283550
ER -