Blow-up of solutions for semilinear fractional Schrödinger equations

A. Z. Fino, I. Dannawi, M. Kirane

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We consider the Cauchy problem in RN, N ≥ 1, for the semi-linear Schrödinger equation with fractional Laplacian. We present the local well-posedness of solutions in Hα/2(RN), 0 < α < 2. We prove a finite-time blow-up result, under suitable conditions on the initial data.

Original languageBritish English
Pages (from-to)67-80
Number of pages14
JournalJournal of Integral Equations and Applications
Issue number1
StatePublished - 2018


  • Blow-up
  • Fractional Laplacian
  • Schrödinger equations


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