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BLOW-UP OF SOLUTIONS FOR SEMILINEAR FRACTIONAL SCHRODINGER EQUATIONS
Journal article   Peer reviewed

BLOW-UP OF SOLUTIONS FOR SEMILINEAR FRACTIONAL SCHRODINGER EQUATIONS

A. Z. Fino, I. Dannawi and M. Kirane
The Journal of integral equations and applications, Vol.30(1), pp.67-80
01/02/2018
DOI: https://doi.org/10.1216/JIE-2018-30-1-67

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider the Cauchy problem in R-N, N >= 1, for the semi-linear Schrodinger equation with fractional Laplacian. We present the local well-posedness of solutions in H-alpha/2 (R-N), 0 < alpha < 2. We prove a finite-time blow-up result, under suitable conditions on the initial data.

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