Existence and uniqueness of time periodic solutions for quantum versions of three-dimensional Schrodinger equations

被引：1
作者：
Guo, Zhao [1 ]
机构：
[1] Jiujiang Univ, Coll Architectural Engn & Planning, Jiujiang 332005, Peoples R China
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2022年 / 12卷 / 04期
关键词：
Green-Schrodinger estimates; Runge-Kutta-Matsaev type theorem; Phragmen-Lindelof method; Periodic solutions; BOSE-GAS; REGULARITY CRITERION; INTEGRABLE SYSTEMS; ONE-DIMENSION; THERMODYNAMICS; ORTHOGONALITY; MODEL;
D O I：
10.1007/s13324-022-00710-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of time periodic solutions for the quantum version of the nonlinear Schrodinger equation. The uniqueness can also be proved by applying the Runge-Kutta-Matsaev's theory Bai (J. Math. Anal. Appl. 444(1):721-736, 2016) and Phragmen-Lindelof method Li and Li (Acta Math. Sci. Ser. A. 40(5):1248-1258, 2020). In particular, the steady equation and the quantum effects are taken into account which play an exceptionally important role in time decay estimates, especially in the the case when the equation is periodic with respect to the Schrodinger norm.
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页数：39
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