Buttazzo, Giuseppe and Kogut, Peter I. (2010) Weak Optimal Controls in Coefficients for Linear Elliptic Problems. arXiv .
Full text not available from this repository.Official URL: http://arxiv.org/abs/1012.3290v1
Abstract
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 |
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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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