Colli, Pierluigi; Signori, Andrea Boundary control problem and optimality conditions for the Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 1480.93192 Int. J. Control 94, No. 7, 1852-1869 (2021). MSC: 93C20 35K61 49J20 49K20 49J50 PDFBibTeX XMLCite \textit{P. Colli} and \textit{A. Signori}, Int. J. Control 94, No. 7, 1852--1869 (2021; Zbl 1480.93192) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a ‘deep quench’ approach. (English) Zbl 1418.49003 J. Convex Anal. 26, No. 2, 485-514 (2019). MSC: 49J20 49K20 74M15 35K86 76R05 82C26 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Convex Anal. 26, No. 2, 485--514 (2019; Zbl 1418.49003) Full Text: arXiv Link
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions. (English) Zbl 1391.49039 SIAM J. Control Optim. 56, No. 3, 1665-1691 (2018). MSC: 49K20 35K61 35K25 76R05 82C26 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., SIAM J. Control Optim. 56, No. 3, 1665--1691 (2018; Zbl 1391.49039) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition. (English) Zbl 1390.35168 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 171-196 (2018). MSC: 35K61 49J20 49J50 49K20 PDFBibTeX XMLCite \textit{P. Colli} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 171--196 (2018; Zbl 1390.35168) Full Text: DOI arXiv
Colli, Pierluigi; Sprekels, Jürgen Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions. (English) Zbl 1382.49004 Colli, Pierluigi (ed.) et al., Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Cham: Springer (ISBN 978-3-319-64488-2/hbk; 978-3-319-64489-9/ebook). Springer INdAM Series 22, 151-182 (2017). MSC: 49J20 35Q74 49J50 35K86 74M15 35K61 PDFBibTeX XMLCite \textit{P. Colli} and \textit{J. Sprekels}, Springer INdAM Ser. 22, 151--182 (2017; Zbl 1382.49004) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, J. Recent results on the Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 1364.35130 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 10, No. 1, 5-21 (2017). MSC: 35K55 PDFBibTeX XMLCite \textit{P. Colli} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 10, No. 1, 5--21 (2017; Zbl 1364.35130) Full Text: DOI MNR
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 1338.35227 Appl. Math. Optim. 73, No. 2, 195-225 (2016). MSC: 35K55 82C26 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 73, No. 2, 195--225 (2016; Zbl 1338.35227) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela A boundary control problem for a possibly singular phase field system with dynamic boundary conditions. (English) Zbl 1327.49007 J. Math. Anal. Appl. 434, No. 1, 432-463 (2016). MSC: 49J20 49K20 49J52 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Math. Anal. Appl. 434, No. 1, 432--463 (2016; Zbl 1327.49007) Full Text: DOI arXiv
Colli, Pierluigi; Sprekels, Jürgen Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition. (English) Zbl 1382.74089 SIAM J. Control Optim. 53, No. 1, 213-234 (2015). MSC: 74M15 49K15 49K20 PDFBibTeX XMLCite \textit{P. Colli} and \textit{J. Sprekels}, SIAM J. Control Optim. 53, No. 1, 213--234 (2015; Zbl 1382.74089) Full Text: DOI arXiv
Colli, Pierluigi; Farshbaf-Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary condition. (English) Zbl 1335.49036 Ann. Acad. Rom. Sci., Math. Appl. 7, No. 1, 41-66 (2015). MSC: 49K20 49J20 49J50 PDFBibTeX XMLCite \textit{P. Colli} et al., Ann. Acad. Rom. Sci., Math. Appl. 7, No. 1, 41--66 (2015; Zbl 1335.49036) Full Text: arXiv Link
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 1327.35162 Adv. Nonlinear Anal. 4, No. 4, 311-325 (2015). MSC: 35K55 49J20 49J50 49K20 82C26 PDFBibTeX XMLCite \textit{P. Colli} et al., Adv. Nonlinear Anal. 4, No. 4, 311--325 (2015; Zbl 1327.35162) Full Text: DOI arXiv
Colli, Pierluigi; Farshbaf-Shaker, M. Hassan; Gilardi, Gianni; Sprekels, Jürgen Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials. (English) Zbl 1326.49033 SIAM J. Control Optim. 53, No. 4, 2696-2721 (2015). MSC: 49K20 74M15 35K61 35K35 PDFBibTeX XMLCite \textit{P. Colli} et al., SIAM J. Control Optim. 53, No. 4, 2696--2721 (2015; Zbl 1326.49033) Full Text: DOI arXiv
Colli, Pierluigi; Farshbaf-Shaker, M.; Sprekels, Jürgen A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles. (English) Zbl 1309.74054 Appl. Math. Optim. 71, No. 1, 1-24 (2015). MSC: 74M15 49K20 35K61 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 71, No. 1, 1--24 (2015; Zbl 1309.74054) Full Text: DOI arXiv