Author:
Cho Yonggeun,Hwang Gyeongha,Kwon Soonsik,Lee Sanghyuk
Abstract
We consider the fractional Schrödinger 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 University Press (CUP)
Reference9 articles.
1. On the global existence of semirelativistic Hartree equations;Cho;RIMS Kôkyûroku Bessatsu,2010
2. Fractional integrals on n-dimensional Euclidean space;Stein;J. Math. Mech,1958
3. On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
4. Remarks on the semirelativistic Hartree equations;Cho;Discrete Contin. Dynam. Syst,2009
Cited by
32 articles.
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