On the absence of global weak solutions for a nonlinear time-fractional Schr\"odinger equation
Analysis of PDEs
2022-01-28 v1
Abstract
In this paper, an initial value problem for a nonlinear time-fractional Schr\"odinger 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.
Keywords
Cite
@article{arxiv.2201.11229,
title = {On the absence of global weak solutions for a nonlinear time-fractional Schr\"odinger equation},
author = {Munirah Alotaibi and Mohamed Jleli and Maria Alessandra Ragusa and Bessem Samet},
journal= {arXiv preprint arXiv:2201.11229},
year = {2022}
}