Regularity properties of nonlinear abstract Schrödinger equations and applications
International Journal of Mathematics, vol.31, no.13, 2020 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 31 Issue: 13
- Publication Date: 2020
- Doi Number: 10.1142/s0129167x20501050
- Journal Name: International Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
- Keywords: Banach spaces, Harmonic analysis, Schrödinger equations, sectorial operators, semigroups of operators
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
In this paper, regularity properties, Strichartz type estimates for solution of integral problem for linear and nonlinear abstract Schrödinger equations in vector-valued function spaces are obtained. The equation includes a linear operator A defined in a Banach space E, in which by choosing E and A we can obtain numerous classis of initial value problems for Schrödinger equations which occur in a wide variety of physical systems.