Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term
DOI10.3934/dcdss.2022001zbMath1500.35200arXiv2108.03165OpenAlexW3193245772MaRDI QIDQ2090478
Pierluigi Colli, Elisabetta Rocca, Gianni Gilardi, Juergen Sprekels
Publication date: 25 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.03165
necessary optimality conditionsCahn-Hilliard equationoptimal control problemlogarithmic potentialregular potentialstrict separation property
Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Semilinear parabolic equations (35K58) Strong solutions to PDEs (35D35) PDEs in connection with control and optimization (35Q93) Initial-boundary value problems for higher-order parabolic systems (35K52)
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