Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions
Analysis of PDEs
2009-04-08 v1 Optimization and Control
Abstract
In this paper we derive a necessary optimality condition for a local optimal solution of some control problems. These optimal control problems are governed by a semi-linear Vettsel boundary value problem of a linear elliptic equation. The control is applied to the state equation via the boundary and a functional of the control together with the solution of the state equation under such a control will be minimized. A constrain on the solution of the state equation is also considered.
Keywords
Cite
@article{arxiv.0904.1060,
title = {Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions},
author = {Yousong Luo},
journal= {arXiv preprint arXiv:0904.1060},
year = {2009}
}
Comments
15 pages