Advances in Differential Equations

On reconstruction of boundary controls in a parabolic equation

Vyacheslav Maksimov

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Abstract

A problem of dynamical reconstruction of boundary controls in a nonlinear parabolic equation is considered. In the case when a control is concentrated in the Neumann boundary conditions, a solving algorithm which is stable with respect to informational noises and computational errors is described. The algorithm is based on the ideas of the theory of feedback control.

Article information

Source
Adv. Differential Equations Volume 14, Number 11/12 (2009), 1193-1211.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355854789

Mathematical Reviews number (MathSciNet)
MR2560873

Zentralblatt MATH identifier
1180.35267

Subjects
Primary: 35K20: Initial-boundary value problems for second-order parabolic equations

Citation

Maksimov, Vyacheslav. On reconstruction of boundary controls in a parabolic equation. Adv. Differential Equations 14 (2009), no. 11/12, 1193--1211. https://projecteuclid.org/euclid.ade/1355854789.


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Advances in Differential Equations

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