학술논문

Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints.
Document Type
Article
Source
Computational Optimization & Applications. May2012, Vol. 52 Issue 1, p181-207. 27p.
Subject
*Control theory (Engineering)
*Error analysis in mathematics
*Mathematical analysis
Elliptic equations
Constraint satisfaction
Language
ISSN
0926-6003
Abstract
In this paper a class of semilinear elliptic optimal control problem with pointwise state and control constraints is studied. We show that sufficient second order optimality conditions for regularized problems with small regularization parameter can be obtained from a second order sufficient condition assumed for the unregularized problem. Moreover, error estimates with respect to the regularization parameter are derived. [ABSTRACT FROM AUTHOR]