Sign in
Back
Some nonexistence results for space-time fractional Schrodinger equations without gauge invariance
Journal article   Peer reviewed

Some nonexistence results for space-time fractional Schrodinger equations without gauge invariance

Mokhtar Kirane and Ahmad Z. Fino
Fractional calculus & applied analysis, Vol.25(4), pp.1361-1387
01/08/2022
DOI: https://doi.org/10.1007/s13540-022-00046-y

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
In this paper, we consider the Cauchy problem in R-N, N >= 1, for semi-linear Schrodinger equations with space-time fractional derivatives. We discuss the nonexistence of global L-1 or L-2 weak solutions in the subcritical and critical cases under some conditions on the initial data and the nonlinear term. Furthermore, the nonexistence of local L-1 or L-2 weak solutions in the supercritical case are studied.

Metrics

1 Record Views

Details