一类非线性时间分数阶Schrödinger方程全局弱解的不存在性

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2023-10-18 DOI:10.1080/00036811.2022.2036335

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

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引用次数: 1

摘要

研究了一类具有奇异对数位项的非线性时间分数阶Schrödinger方程的初值问题。所考虑的问题涉及左/前Hadamard-Caputo分数导数对时间变量。利用测试函数法，通过对测试函数的合理选择，得到了全局弱解不存在的充分判据。关键词:非线性时间分数Schrödinger方程奇异对数潜在全局弱解不存在2010数学学科分类:35B4435B3326A33披露声明作者未报告潜在利益冲突。第三位作者希望感谢越南胡志明市工业大学基础科学学院，为他提供了在该学院工作的机会。第四作者由沙特阿拉伯利雅得沙特国王大学研究人员支持项目编号(RSP-2021/4)资助。

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

AbstractIn 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.KEYWORDS: Nonlinear time-fractional Schrödinger equationsingular logarithmic potentialglobal weak solutionnonexistence2010 MATHEMATICS SUBJECT CLASSIFICATIONS: 35B4435B3326A33 Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe third author wish to thank Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Vietnam, for the opportunity to work in it. The fourth author is supported by Researchers Supporting Project number (RSP-2021/4), King Saud University, Riyadh, Saudi Arabia.

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.