Determining the memory kernel from a fixed point measurement data for a parabolic equation with memory effect

被引：5
作者：
Wu, Bin [1 ]
Wu, Siyuan [1 ]
Yu, Jun [2 ]
Wang, Zewen [3 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
[2] Univ Vermont, Dept Math & Stat, Burlington, VT 05401 USA
[3] East China Univ Technol, Dept Math, Nanchang 330013, Jiangxi, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Integro-differential equation; Inverse problem; Convolution kernel; Memory effect; Existence and uniqueness; CONVOLUTION KERNEL; INVERSE PROBLEM; HEAT-EQUATION; IDENTIFICATION; CONTROLLABILITY; RECONSTRUCTION;
D O I：
10.1007/s40314-017-0427-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an inverse problem for a parabolic equation with memory effect. This inverse problem aims to identify the memory kernel function from a fixed point measurement data. Based on the fixed point arguments, we derive the global in time existence and uniqueness of our inverse problem. Moreover, we present a numerical algorithm to reconstruct the memory kernel function. Numerical simulations show the effectiveness of the proposed method.
引用
收藏
页码：1877 / 1893
页数：17
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