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arXiv · 1411.1831

Optimal Venttsel Boundary Control of Parabolic Equations

Yousong Luo
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Abstract

In this paper we study the optimality condition for the Venttsel boundary control of a parabolic equation, that is, the state of the dynamic system is governed by a parabolic equation together with an initial condition while the control is applied to the system via the Venttsel boundary condition. A first order necessary condition is derived for the optimal solution in the case of both unconstrained and constrained problems. The condition is also sufficient for the unconstrained problem.

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Yousong Luo. 2014-11-07. Optimal Venttsel Boundary Control of Parabolic Equations. https://arxiv.org/abs/1411.1831

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