Variational method for the solution of an inverse problem

被引：3
|
作者：
Aksoy, N. Yildirim [1 ]
机构：
[1] Kafkas Univ, Fac Arts & Sci, Dept Math, TR-36100 Kars, Turkey
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 312卷
关键词：
Inverse problem; Schrodinger equation; Variational method;
D O I：
10.1016/j.cam.2016.01.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a variational method for the solution of an inverse problem. An inverse problem of determining the unknown coefficient of nonlinear time-dependent Schrodinger equation is considered. Inverse problem is reformulated as a variational problem by means of an observation functional. The existence and uniqueness of solutions of the constituted variational problem are investigated. The differentiability of observation functional is obtained and a necessary condition for the solution of the variational problem is given. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：82 / 93
页数：12
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