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- W2068222787 abstract "We consider a control constrained optimal control problem governed by a semilinear elliptic equation with nonlocal interface conditions. These conditions occur during the modeling of diffuse-gray conductive-radiative heat transfer. The problem arises when attempting to optimize the temperature gradient within crystal growth by the physical vapor transport (PVT) method. Based on a minimum principle for the semilinear equation as well as $L^infty$-estimates for the weak solution, we establish the existence of an optimal solution as well as necessary optimality conditions. The theoretical results are illustrated by numerical computations." @default.
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- W2068222787 date "2006-01-01" @default.
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- W2068222787 title "Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions" @default.
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- W2068222787 doi "https://doi.org/10.1137/040617753" @default.
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