Profile decompositions of fractional Schrodinger equations with angularly regular data

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We study the fractional Schrodinger equations in R1+d, d >= 3, of order d/(d - 1) < alpha < 2. Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results [9] to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2014-04
Language
English
Article Type
Article
Keywords

BLOW-UP; STRICHARTZ INEQUALITY; WAVE-EQUATION; MAXIMIZERS

Citation

JOURNAL OF DIFFERENTIAL EQUATIONS, v.256, no.8, pp.3011 - 3037

ISSN
0022-0396
DOI
10.1016/j.jde.2014.01.030
URI
http://hdl.handle.net/10203/190157
Appears in Collection
MA-Journal Papers(저널논문)
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