Optimal boundary control of a system of reaction diffusion equations
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK（2010）
摘要
In this work, boundary control problems governed by a system of semilinear parabolic PDEs with pointwise control constraints are considered. This class of problems is related to applications in the chemical catalysis. After discussing existence and uniqueness of the state equation with both linear and nonlinear boundary conditions, the existence of an optimal solution is shown. Necessary and sufficient optimality conditions are derived to deal with numerical examples, which conclude the paper. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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关键词
Optimal control,boundary control,semilinear parabolic system,reaction-diffusion equations,necessary optimality conditions,sufficient optimality conditions
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