A relaxation approach to vector-valued Allen-Cahn MPEC problems

DOI10.1007/S00245-014-9282-0zbMath1326.49034OpenAlexW1976766551MaRDI QIDQ887165

N. E. Zubov

Publication date: 28 October 2015

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-014-9282-0

zbMATH Keywords

optimality conditionsrelaxationcomplementarity constraintsparabolic obstacle problemsvector-valued Allen-Cahn system

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45) Evolution inclusions (34G25) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (5)

Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials ⋮ Optimal Control of the Landau–de Gennes Model of Nematic Liquid Crystals ⋮ Optimal Control for Shape Memory Alloys of the One-Dimensional Frémond Model ⋮ Optimal boundary control of a simplified Ericksen-Leslie system for nematic liquid crystal flows in \(2D\) ⋮ A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles

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