Weak Optimal Controls in Coefficients for Linear Elliptic Problems

Giuseppe Buttazzo; Peter I. Kogut

Weak Optimal Controls in Coefficients for Linear Elliptic Problems

Optimization and Control 2010-12-16 v1

Authors: Giuseppe Buttazzo , Peter I. Kogut

Abstract

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.

Keywords

optimal control theory optimal control elliptic partial differential equations

Cite

@article{arxiv.1012.3290,
  title  = {Weak Optimal Controls in Coefficients for Linear Elliptic Problems},
  author = {Giuseppe Buttazzo and Peter I. Kogut},
  journal= {arXiv preprint arXiv:1012.3290},
  year   = {2010}
}

Comments

11 pages, 0 figures

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