A Deep Quench Approach to the Optimal Control of an Allen–Cahn Equation with Dynamic Boundary Conditions and Double Obstacles

Author:

Colli Pierluigi,Farshbaf-Shaker M. Hassan,Sprekels Jürgen

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization

Reference10 articles.

1. Barbu, V.: Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities. J. Math. Anal. Appl. 80, 566–597 (1981)

2. Brezis, H.: Opérateurs Maximaux Monotones et semi-groupes de contractions Dans les espaces de Hilbert. North-Holland Math Stud 5, Elsevier, Amsterdam (1973)

3. Brezzi, F., Gilardi, G.: Chapters 1–3. In: Kardestuncer, H., Norrie, D.H. (eds.) Finite Element Handbook. McGraw-Hill Book Co., New York (1987)

4. Calatroni, L., Colli, P.: Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions. Nonlinear Anal. 79, 12–27 (2013)

5. Colli P, Sprekels J.: Optional control of an Allen-Cahn equation with singular potentials and dynamic boundary condition (2012). Preprint arXiv:1212.2359 .

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