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On Mass Concentration for the L2-Critical Nonlinear Schrodinger Equations

Authors
Chae, M.Hong, S.Kim, J.Lee, S.Yang, C. W.
Issue Date
2009
Publisher
TAYLOR & FRANCIS INC
Keywords
Hartree equation; Mass concentration; Mixed norm blow-up; Schrodinger equation
Citation
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, v.34, no.5, pp.486 - 505
Indexed
SCIE
SCOPUS
Journal Title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume
34
Number
5
Start Page
486
End Page
505
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/120951
DOI
10.1080/03605300902812426
ISSN
0360-5302
Abstract
We consider the mass concentration phenomenon for the L2-critical nonlinear Schrodinger equations. We show the mass concentration of blow-up solutions contained in [image omitted] space near the finite time. The new ingredient in this paper is a refinement of Strichartz's estimates with the mixed norm [image omitted] for 2qr.
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