Sprekels, Jürgen; Tröltzsch, Fredi Second-order sufficient conditions for sparse optimal control of singular Allen-Cahn systems with dynamic boundary conditions. (English) Zbl 07800071 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3784-3812 (2023). MSC: 49J50 49J52 35K20 35K55 49K20 PDFBibTeX XMLCite \textit{J. Sprekels} and \textit{F. Tröltzsch}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3784--3812 (2023; Zbl 07800071) Full Text: DOI arXiv
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis. (English) Zbl 1473.49053 ESAIM, Control Optim. Calc. Var. 27, Paper No. 73, 46 p. (2021). MSC: 49S05 92C17 92C37 49J20 49K20 49K40 35K57 37N25 PDFBibTeX XMLCite \textit{P. Colli} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 73, 46 p. (2021; Zbl 1473.49053) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials. (English) Zbl 1458.35244 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 243-271 (2021). MSC: 35K90 35K45 49K20 49K27 35R11 PDFBibTeX XMLCite \textit{P. Colli} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 243--271 (2021; Zbl 1458.35244) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Optimal distributed control of a generalized fractional Cahn-Hilliard system. (English) Zbl 1447.35181 Appl. Math. Optim. 82, No. 2, 551-589 (2020). MSC: 35K45 35K90 49K20 49K27 35R11 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 82, No. 2, 551--589 (2020; Zbl 1447.35181) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Nonlocal phase field models of viscous Cahn-Hilliard type. (English) Zbl 1448.35285 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 71-100 (2019). MSC: 35K35 35K59 35Q93 PDFBibTeX XMLCite \textit{P. Colli} et al., in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 71--100 (2019; Zbl 1448.35285) Full Text: DOI
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
Gilardi, Gianni; Sprekels, Jürgen Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions. (English) Zbl 1404.35269 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 178, 1-31 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35K61 35B40 49J20 49K20 93C20 PDFBibTeX XMLCite \textit{G. Gilardi} and \textit{J. Sprekels}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 178, 1--31 (2019; Zbl 1404.35269) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen On a Cahn-Hilliard system with convection and dynamic boundary conditions. (English) Zbl 1406.35163 Ann. Mat. Pura Appl. (4) 197, No. 5, 1445-1475 (2018). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35K61 35K25 76R05 80A22 PDFBibTeX XMLCite \textit{P. Colli} et al., Ann. Mat. Pura Appl. (4) 197, No. 5, 1445--1475 (2018; Zbl 1406.35163) Full Text: DOI arXiv
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; Gilardi, Gianni; Sprekels, Jürgen Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. (English) Zbl 1364.35131 Evol. Equ. Control Theory 6, No. 1, 35-58 (2017). MSC: 35K55 49K20 74A15 35K25 35R70 PDFBibTeX XMLCite \textit{P. Colli} et al., Evol. Equ. Control Theory 6, No. 1, 35--58 (2017; Zbl 1364.35131) Full Text: DOI arXiv
Rocca, E.; Sprekels, J. Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions. (English) Zbl 1322.49006 SIAM J. Control Optim. 53, No. 3, 1654-1680 (2015). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 49J20 49K20 35R09 45K05 74N99 PDFBibTeX XMLCite \textit{E. Rocca} and \textit{J. Sprekels}, SIAM J. Control Optim. 53, No. 3, 1654--1680 (2015; Zbl 1322.49006) Full Text: DOI arXiv Link