A product formula approach to a nonhomogeneous boundary optimal control problem governed by nonlinear phase-field transition system. II: Lie-Trotter product formula

DOI10.1007/s10957-010-9743-9zbMath1211.49031OpenAlexW1536728803MaRDI QIDQ630016

Angelo Favini, Tommaso Benincasa, Costică Moroşanu

Publication date: 10 March 2011

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-010-9743-9

zbMATH Keywords

boundary value problemsphase-field modelsnonlinear parabolic systemsfractional steps method

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order parabolic systems (35K51)

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Distributed and boundary optimal control of the Allen–Cahn equation with regular potential and dynamic boundary conditions, On guaranteed feedback control of phase field equations with complete and incomplete information, State-constrained optimal control of phase-field equations with obstacle, Optimal control problem for Lengyel–Epstein model with obstacles and state constraints

Cites Work

• State-Constrained Optimal Control for the Phase-Field Transition System
• Fractional Steps Scheme to Approximate the Phase-Field Transition System with Non-Homogeneous Cauchy–Neumann Boundary Conditions
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