ON THE BLOW-UP PHENOMENON FOR THE MASS-CRITICAL FOCUSING HARTREE EQUATION IN R4

被引：43

作者：

Miao, Changxing ^{[1
]}

Xu, Guixiang ^{[1
]}

Zhao, Lifeng ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Univ Sci & Technol China, Dept Math, Beijing, Peoples R China

来源：

COLLOQUIUM MATHEMATICUM | 2010年 / 119卷 / 01期

关键词：

blow-up; focusing; Hartree equation; mass-critical; mass concentration; profile decomposition; NONLINEAR SCHRODINGER-EQUATIONS; GLOBAL WELL-POSEDNESS; MINIMAL-MASS; SCATTERING; UNIQUENESS; DIMENSIONS;

D O I：

10.4064/cm119-1-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：23 / 50

页数：28

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