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

被引：17

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.

引用

页码：3739 / 3753

页数：15

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