Profile decompositions and blowup phenomena of mass critical fractional Schrodinger equations

Cited 26 time in webofscience Cited 0 time in scopus
  • Hit : 727
  • Download : 0
We study, under the radial symmetry assumption, the solutions to the fractional Schrodinger equations of critical nonlinearity in R1+d, d >= 2, with Levy index 2d/(2d - 1) < alpha < 2. We first prove the linear profile decomposition and then apply it to investigate the properties of the blowup solutions of the nonlinear equations with mass-critical Hartree type nonlinearity. (C) 2013 Elsevier Ltd. All rights reserved.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
2013-07
Language
English
Article Type
Article
Keywords

GLOBAL WELL-POSEDNESS; STRICHARTZ INEQUALITY; QUANTUM-MECHANICS; COMPACTNESS; SCATTERING; EXISTENCE; INTEGRALS

Citation

NONLINEAR ANALYSIS-THEORY METHODS &amp; APPLICATIONS, v.86, pp.12 - 29

ISSN
0362-546X
DOI
10.1016/j.na.2013.03.002
URI
http://hdl.handle.net/10203/174709
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 26 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0