On blow up for a class of radial Hartree type equations

被引：0

作者：

Wang, Shumao ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 09期

关键词：

NONLINEAR SCHRODINGER-EQUATION; GLOBAL WELL-POSEDNESS; SCATTERING; MASS; STABILITY; EXISTENCE;

D O I：

10.1007/s00526-023-02579-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of Hartree type equations and prove a quantitative blow up rate for their blow up solutions. This is an analogue of the result by Merle and Raphael on 3d cubic NLS.

引用

页数：30

共 42 条

[31] Sharp upper bound on the blow-up rate for the critical nonlinear Schrodinger equation
Merle, F
Raphael, P
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2003, 13 (03) : 591 - 642
[32] CONSTRUCTION OF SOLUTIONS WITH EXACTLY K-BLOW-UP POINTS FOR THE SCHRODINGER-EQUATION WITH CRITICAL NONLINEARITY
MERLE, F
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 129 (02) : 223 - 240
[33] Merle F, 2008, AM J MATH, V130, P945
[34] ON THE BLOW-UP PHENOMENON FOR THE MASS-CRITICAL FOCUSING HARTREE EQUATION IN R4
Miao, Changxing
Xu, Guixiang
Zhao, Lifeng
[J]. COLLOQUIUM MATHEMATICUM, 2010, 119 (01) : 23 - 50
[35] Global well-posedness and scattering for the mass-critical Hartree equation with radial data
Miao, Chanping
Xu, Guixiang
Zhao, Lifeng
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2009, 91 (01): : 49 - 79
[36] Global dynamics above the ground state energy for the cubic NLS equation in 3D
Nakanishi, K.
Schlag, W.
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2012, 44 (1-2) : 1 - 45
[37] Perelman G., 2001, CRM Proc. Lecture Notes, V27, P147
[38] Existence and stability of the log-log blow-up dynamics for the L2-critical nonlinear Schrodinger equation in a domain
Planchon, Fabrice
Raphaeel, Pierre
[J]. ANNALES HENRI POINCARE, 2007, 8 (06): : 1177 - 1219
[39] Stability of the log-log bound for blow up solutions to the critical non linear Schrodinger equation
Raphael, P
[J]. MATHEMATISCHE ANNALEN, 2005, 331 (03) : 577 - 609
[40] Tao TRC, 2020, Arxiv, DOI arXiv:1908.04958

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