Reconstruction of the right-hand side of a parabolic equation

被引：0

作者：

M. M. Lavrent’ev

V. I. Maksimov

机构：

[1] Russian Academy of Sciences,Institute of Mathematics, Siberian Branch

[2] Russian Academy of Sciences,Institute of Mathematics and Mechanics, Ural Division

来源：

Computational Mathematics and Mathematical Physics | 2008年 / 48卷

关键词：

parabolic equations; reconstruction of perturbations using measured data; inverse problems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A parabolic equation under the influence of external perturbations is considered. It is assumed that the solutions to this equation are measured (possibly with errors). The problem of construction of differential equations for estimation (reconstruction) of perturbations using the measured data is discussed. Differential equations of the auxiliary system whose right-hand sides are approximations of the unknown input are derived.

引用

页码：641 / 647

页数：6

共 7 条

[1]

Kryazhimskii A. V.(1983)On Modelling Control in a Dynamical System Izv. Akad. Nauk SSSR, Tekh. Kibern. 2 51-68

[2]

Osipov Yu. S.(2000)Dynamic Inverse Problems for Parabolic Systems Differ. Uravn. 36 579-597

[3]

Osipov Yu. S.(2001)Reconstruction of Unbounded Controls in Nonlinear Dynamical Systems Prikl. Mat. Mekh. 65 35-42

[4]

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[5]

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[6]

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[7]

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