Some control and inverse problems for linear parabolic equations

Authors

DOI:

https://doi.org/10.26089/NumMet.v17r326

Keywords:

parabolic equations, control problems, duality principle, density property, controllability, inverse problems, adjoint problems, final overdetermination, uniqueness

Abstract

Properties of solutions of control and inverse problems for one-dimensional parabolic equations with coefficients dependent on (x,t) are studied. The proposed approach based on the duality principle allows one to generalize the known Lions’ result on the density properties of averaged observations in control problems with a control function given in the initial conditions. It is shown that the significance of these density properties is not restricted to the control problems. Such properties are used to study inverse parabolic problems, in particular, to study the uniqueness conditions of their solutions.

Author Biography

N.L. Gol’dman

Lomonosov Moscow State University,
Research Computing Center
• Leading Researcher

References

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Published

07-07-2016

How to Cite

Гольдман Н. Some Control and Inverse Problems for Linear Parabolic Equations // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2016. 17. 280-290. doi 10.26089/NumMet.v17r326

Issue

Vol. 17 (2016): Issue 3.

Section

Section 1. Numerical methods and applications

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