论文标题

对于非全球弱解决方案,非线性时间分数schrödinger方程

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

论文作者

Alotaibi, Munirah, Jleli, Mohamed, Ragusa, Maria Alessandra, Samet, Bessem

论文摘要

在本文中,研究了具有奇异对数电位项的非线性时间分数schrödinger方程的初始值问题。被认为的问题涉及有关时间变量的左/前进hadamard-caputo分数衍生物。使用具有明智选择测试功能的测试功能方法,我们获得了缺乏全球弱解决方案的足够标准。

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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