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

页码：1877 / 1893

页数：17

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