State-constrained optimal control of phase-field equations with obstacle

DOI10.1186/1687-2770-2013-234zbMath1292.49025OpenAlexW2096445841WikidataQ59302013 ScholiaQ59302013MaRDI QIDQ2252569

Jun-Jun Liu, Jiashan Zheng, Hao Liu

Publication date: 18 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-234

zbMATH Keywords

optimal controlPontryagin's maximum principlephase-field transition system

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Transformations involving diffusion in solids (74N25) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Well-posedness for a phase-field transition system endowed with a polynomial nonlinearity and a general class of nonlinear dynamic boundary conditions ⋮ Domain decomposition in time for PDE-constrained optimization ⋮ A boundary control problem for a possibly singular phase field system with dynamic boundary conditions ⋮ Optimal control of the sixth-order convective Cahn-Hilliard equation

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