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Weak Optimal Controls in Coefficients for Linear Elliptic Problems

Buttazzo, Giuseppe and Kogut, Peter I. (2010) Weak Optimal Controls in Coefficients for Linear Elliptic Problems. arXiv .

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SUMMARY In this paper we study an optimal control problem associated to a linear degenerate elliptic equation with mixed boundary conditions. The equations of this type can exhibit the Lavrentieff phenomenon and non-uniqueness of weak solutions. We adopt the weight function as a control in $L^1(\Omega)$. Using the direct method in the Calculus of variations, we discuss the solvability of this optimal control problem in the class of weak admissible solutions.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI MATEMATICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 05 Aug 2013 12:47
Last Modified: 05 Aug 2013 12:47
URI: http://eprints.adm.unipi.it/id/eprint/1336

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