Second-Order Necessary Conditions for Optimal Control of Semilinear Elliptic Equations with Leading Term Containing Controls
Optimization and Control
2017-03-28 v1
Abstract
An optimal control problem for a semilinear elliptic equation of divergence form is considered. Both the leading term and the semilinear term of the state equation contain the control. The well-known Pontryagin type maximum principle for the optimal controls is the first-order necessary condition. When such a first-order necessary condition is singular in some sense, certain type of the second-order necessary condition will come in naturally. The aim of this paper is to explore such kind of conditions for our optimal control problem.
Keywords
Cite
@article{arxiv.1703.08649,
title = {Second-Order Necessary Conditions for Optimal Control of Semilinear Elliptic Equations with Leading Term Containing Controls},
author = {Hongwei Lou and Jiongmin Yong},
journal= {arXiv preprint arXiv:1703.08649},
year = {2017}
}
Comments
28 pages