English

Optimal control of unilateral obstacle problem with a source term

Optimization and Control 2008-12-18 v1

Abstract

We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in H2H^{2}. We use an approximate technique to introduce a family of problems governed by variational equations. We prove optimal solutions existence and give necessary optimality conditions.

Keywords

Cite

@article{arxiv.0803.1978,
  title  = {Optimal control of unilateral obstacle problem with a source term},
  author = {Radouen Ghanem},
  journal= {arXiv preprint arXiv:0803.1978},
  year   = {2008}
}
R2 v1 2026-06-21T10:21:16.145Z