Distributed and boundary optimal control of the Allen–Cahn equation with regular potential and dynamic boundary conditions

DOI10.1080/00207179.2015.1137634zbMath1354.65224OpenAlexW2227119575MaRDI QIDQ2954058

L. D. Donado Escobar, Tommaso Benincasa, Costică Moroşanu

Publication date: 11 January 2017

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

Full work available at URL: https://doi.org/10.1080/00207179.2015.1137634

zbMATH Keywords

Pontryagin's maximum principledynamic boundary conditionsphase changesfractional steps methodboundary value problems for nonlinear parabolic PDE

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions and duality in mathematical programming (90C46) Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items

Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint, Second-order sufficient conditions for sparse optimal control of singular Allen-Cahn systems with dynamic boundary conditions

Cites Work

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