Abstract
AbstractIn this paper we consider a one‐dimensional nonlinear boundary control problem occuring in heat conduction with a boundary condition governed by the Stefan‐Boltzmann law. For L∞‐inputs we prove the existence and uniqueness of non‐negative solutions. Furthermore we show for a class of cost functionals that there exist optimal controls. We also give necessary conditions for optimal controls in form of a certain type of bang‐bang‐principle.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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