Necessary Optimality Conditions for Some Control Problems of Elliptic Equations with Venttsel Boundary Conditions |
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Authors: | Yousong Luo |
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Institution: | 1. School of Mathematical and Geospatial Sciences, RMIT University, GPO Box 2476V, Melbourne, Vic., 3001, Australia
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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 constraint on the solution of the state equation is also considered. |
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Keywords: | |
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