FILTER REGULARIZATION FOR AN INVERSE PARABOLIC PROBLEM IN SEVERAL VARIABLES

被引：0

作者：

Tuan Nguyen Huy ^{[1
]}

Kirane, Mokhtar ^{[2
,3
]}

Le, Long Dinh ^{[4
]}

Thinh Van Nguyen ^{[5
]}

机构：

[1] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

[2] Univ La Rochelle, Lab Math Pole Sci & Technol, F-17042 La Rochelle, France

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[4] Inst Computat Sci & Technol, Ho Chi Minh City, Vietnam

[5] Seoul Natl Univ, Dept Civil & Environm Engn, Seoul 151, South Korea

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Ill-posed problem; truncation method; heat equation; regularization; BOUNDARY-VALUE METHOD; BACKWARD; EQUATIONS; TIME; APPROXIMATION; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The backward heat problem is known to be ill possed, which has lead to the design of several regularization methods. In this article we apply the method of filtering out the high frequencies from the data for a parabolic equation. First we identify two properties that if satisfied they imply the convergence of the approximate solution to the exact solution. Then we provide examples of filters that satisfy the two properties, and error estimates for their approximate solutions. We also provide numerical experiments to illustrate our results.

引用

页数：13

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