|Table of Contents|

Blowup Solutions to the SchrdingerHartree Equation(PDF)

《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

Issue:
2014年02期
Page:
33-
Research Field:
数学
Publishing date:

Info

Title:
Blowup Solutions to the SchrdingerHartree Equation
Author(s):
Tang Xingdong
School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China
Keywords:
Schrdinger equationblowupvariational characterization
PACS:
O175.29
DOI:
-
Abstract:
In this paper,we study the blowup solutions for the nonlinear SchrdingerHartree equation,we give another characterization of the blowup solutions.

References:

[1]Miao C,Xu G,Zhao L.Global wellposedness and scattering for the energycritical,defocusing Hartree Equation in R^(1+n)[J].Comm Partial Differential Equations,2010,36(5):729-776.
[2]Genev H,Venkov G.Soliton and singular solutions to the SchrodingerHartree equation[J].AIP Conference Proceedings,2010,1293:107.
[3]Ibrahim S,Masmoudi N,Nakanishi K.Scattering threshold for the focusing nonlinear KleinGordon equation[J].Analysis and PDE,2011,4(3):405-460.
[4]Cazenave T.Semilinear Schrodinger Equations[M].Providence:American Mathematical Society,2003.
[5]Genev H,Venkov G.Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential[J].Journal of Differential Equations,2011,251(2):420-438.
[6]Genev H,Venkov G.Soliton and blowup solutions to the timedependent SchrodingerHartree equation[J].Discrete and Continuous Dynamical Systems S,2012,5(5):903-923.
[7]Lieb E H,Loss M.Analysis[M].Providence:American Mathematical Society,2001.

Memo

Memo:
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Last Update: 2014-06-30