On finite time blow-up for the mass-critical Hartree equations

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We consider the fractional Schrodinger equations with focusing Hartree-type nonlinearities. When the energy is negative, we show that the solution blows up in a finite time. For this purpose, based on Glassey's argument, we obtain a virial-type inequality.
Publisher
CAMBRIDGE UNIV PRESS
Issue Date
2015-06
Language
English
Article Type
Article
Citation

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v.145, no.3, pp.467 - 479

ISSN
0308-2105
DOI
10.1017/S030821051300142X
URI
http://hdl.handle.net/10203/199777
Appears in Collection
MA-Journal Papers(저널논문)
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