UnipiEprints
Università di Pisa
Sistema bibliotecario di ateneo

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 .

Full text not available from this repository.

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
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

Repository staff only actions

View Item