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The regularity properties and blow-up of the solutions for nonlocal Schrödinger equations.
- Source :
-
Reviews in Mathematical Physics . Jul2024, p1. 22p. - Publication Year :
- 2024
-
Abstract
- In this paper, the Cauchy problem for convolution-type nonlocal linear and nonlinear Schrödinger equations (NSEs) is studied. The equations include the general differential operators. The existence, uniqueness, Lp-regularity properties of linear problem and the existence, uniqueness, and blow-up at finite time of the nonlinear problem are obtained. By choosing differential operators including in equations, the regularity properties of a different type of nonlocal Schrödinger equation are studied. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0129055X
- Database :
- Academic Search Index
- Journal :
- Reviews in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 178302802
- Full Text :
- https://doi.org/10.1142/s0129055x24500302