Boundary control problem and optimality conditions for the Cahn–Hilliard equation with dynamic boundary conditions

DOI10.1080/00207179.2019.1680870zbMath1480.93192arXiv1905.00203OpenAlexW2980411421WikidataQ127017905 ScholiaQ127017905MaRDI QIDQ5018796

Andrea Signori, Pierluigi Colli

Publication date: 22 December 2021

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00203

zbMATH Keywords

optimal controloptimality conditionsCahn-Hilliard equationphase separationdouble-well potentialsdynamic boundary conditionsadjoint problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Fréchet and Gateaux differentiability in optimization (49J50) Existence theories for optimal control problems involving partial differential equations (49J20) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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The Cahn--Hilliard Equation with Forward-Backward Dynamic Boundary Condition via Vanishing Viscosity ⋮ Well-posedness and optimal control for a viscous Cahn-Hilliard-Oono system with dynamic boundary conditions ⋮ Second-order sufficient conditions for sparse optimal control of singular Allen-Cahn systems with dynamic boundary conditions ⋮ Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term

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