Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions
Journal Article
·
· Applied Mathematics and Optimization
- RMIT University, School of Mathematical and Geospatial Sciences (Australia)
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 constraint on the solution of the state equation is also considered.
- OSTI ID:
- 21480267
- Journal Information:
- Applied Mathematics and Optimization, Vol. 61, Issue 3; Other Information: DOI: 10.1007/s00245-009-9087-8; Copyright (c) 2010 Springer Science+Business Media, LLC; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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