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On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation.
- Source :
-
Applicable Analysis . Jan2024, Vol. 103 Issue 1, p1-15. 15p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 103
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 174522033
- Full Text :
- https://doi.org/10.1080/00036811.2022.2036335