On the existence of weak optimal BV-controls in coefficients for linear elliptic problems

On the existence of weak optimal BV-controls in coefficients for linear elliptic problems

In this paper we study the optimal control problem associated to a linear degenerate elliptic equation with mixed boundary conditions. We adopt a weight coefficient in the main part of elliptic operator as control in <em>BV(Ω). </em>Since the equations of this type can exhibit the Lavren...

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Bibliographic Details
Main Authors: I. G. Balanenko, P. I. Kogut
Format: Article
Language:English
Published: DNU 2009-08-01
Series:Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ
Subjects:
optimal control problem
degenerate elliptic equation
mixed boundary conditions
Lavrentieff phenomenon
weak admissible solutions
Online Access:http://model-dnu.dp.ua/index.php/SM/article/view/87

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