State-Constrained Optimal Control of Semilinear Elliptic Equations with Nonlocal Radiation Interface Conditions

DOI10.1137/070694788zbMath1194.49026OpenAlexW2106853513MaRDI QIDQ3557943

Irwin Yousept, Christian Meyer

Publication date: 28 April 2010

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/35abe7016ad4de9b9163d9bb5c153b9a3ed926b1

zbMATH Keywords

first-order necessary conditionsstate constraintsnonlinear optimal controlsecond-order sufficient conditionsnonlocal radiation interface conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear boundary value problems for linear elliptic equations (35J65) Programming in abstract spaces (90C48) PDEs in connection with control and optimization (35Q93)

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An alternating direction method of multipliers for elliptic equation constrained optimization problem ⋮ Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions ⋮ Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals ⋮ Noncompactness of integral operators modeling diffuse-gray radiation in polyhedral and transient settings ⋮ An efficient alternating direction method of multipliers for optimal control problems constrained by random Helmholtz equations ⋮ Optimal Distributed Control of a Nonlocal Convective Cahn--Hilliard Equation by the Velocity in Three Dimensions ⋮ Second order optimality conditions and their role in PDE control

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