On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation

2022/01/26 by Alotaibi, Munirah, Jleli, Mohamed, Ragusa, Maria Alessandra +1 · 1 citation
#26A33 #35B33 #35B44 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2201.11229

Abstract

In this paper, an initial value problem for a nonlinear time-fractional Schrödinger equation with a singular logarithmic potential term is investigated. The considered problem involves the left/forward Hadamard-Caputo fractional derivative with respect to the time variable. Using the test function method with a judicious choice of the test function, we obtain sufficient criteria for the absence of global weak solutions.

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