Journal
COLLOQUIUM MATHEMATICUM
Volume 119, Issue 1, Pages 23-50Publisher
ARS POLONA-RUCH
DOI: 10.4064/cm119-1-2
Keywords
blow-up; focusing; Hartree equation; mass-critical; mass concentration; profile decomposition
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Funding
- NSF of China [10725102, 10801015, 10901148]
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We characterize the dynamics of the finite time blow-up solutions with minimal mass for the focusing mass-critical Hartree equation with H-1(R-4) data and L-2(R-4) 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.
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