Existence and uniqueness of an inverse problem for nonlinear Klein-Gordon equation

被引：16
|
作者：
Tekin, Ibrahim [1 ]
Mehraliyev, Yashar T. [2 ]
Ismailov, Mansur I. [3 ]
机构：
[1] Bursa Tech Univ, Dept Math, Bursa, Turkey
[2] Baku State Univ, Fac Mech & Math, Baku, Azerbaijan
[3] Gebze Tech Univ, Dept Math, Gebze, Turkey
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 10期
关键词：
existence and uniqueness; finite difference method; Fourier method; inverse coefficient problem; nonlinear hyperbolic equation; BOUNDARY VALUE-PROBLEM; COEFFICIENTS;
D O I：
10.1002/mma.5609
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an initial boundary value problem for nonlinear Klein-Gordon equation is considered. Giving an additional condition, a time-dependent coefficient multiplying nonlinear term is determined, and existence and uniqueness theorem for small times is proved. The finite difference method is proposed for solving the inverse problem.
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页码：3739 / 3753
页数：15
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