Sprekels, Jürgen; Tröltzsch, Fredi Second-order sufficient conditions in the sparse optimal control of a phase field tumor growth model with logarithmic potential. (English) Zbl 07815230 ESAIM, Control Optim. Calc. Var. 30, Paper No. 13, 25 p. (2024). MSC: 35K57 35K51 35Q93 37N25 49J50 49J52 49K20 49K40 PDFBibTeX XMLCite \textit{J. Sprekels} and \textit{F. Tröltzsch}, ESAIM, Control Optim. Calc. Var. 30, Paper No. 13, 25 p. (2024; Zbl 07815230) Full Text: DOI arXiv
Gilardi, Gianni; Rocca, Elisabetta; Signori, Andrea Well-posedness and optimal control for a viscous Cahn-Hilliard-Oono system with dynamic boundary conditions. (English) Zbl 07800063 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3573-3605 (2023). MSC: 35K61 35K51 35K55 49J20 49K20 49J50 PDFBibTeX XMLCite \textit{G. Gilardi} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3573--3605 (2023; Zbl 07800063) Full Text: DOI arXiv
Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth. (English) Zbl 07800062 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3552-3572 (2023). MSC: 35K61 35K51 35K59 49J20 49K20 49J50 35Q92 PDFBibTeX XMLCite \textit{G. Gilardi} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3552--3572 (2023; Zbl 07800062) Full Text: DOI arXiv
Raad, Hussein; Cherfils, Laurence; Allery, Cyrille; Guillevin, Rémy Optimal control of a model for brain lactate kinetics. (English) Zbl 07737695 Asymptotic Anal. 133, No. 4, 555-586 (2023). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 92C37 92C50 92C45 35K57 35B45 35D30 49J20 49K20 35A01 35A02 92-08 PDFBibTeX XMLCite \textit{H. Raad} et al., Asymptotic Anal. 133, No. 4, 555--586 (2023; Zbl 07737695) Full Text: DOI
Frigeri, Sergio; Lam, Kei Fong; Signori, Andrea Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities. (English) Zbl 1504.35128 Eur. J. Appl. Math. 33, No. 2, 267-308 (2022). MSC: 35D30 35K52 35K58 35R30 49J20 92C50 PDFBibTeX XMLCite \textit{S. Frigeri} et al., Eur. J. Appl. Math. 33, No. 2, 267--308 (2022; Zbl 1504.35128) Full Text: DOI arXiv
Schimperna, Giulio On the Cahn-Hilliard-Darcy system with mass source and strongly separating potential. (English) Zbl 1500.35090 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2305-2329 (2022). MSC: 35D30 35K35 35K58 35Q35 76D27 92C30 PDFBibTeX XMLCite \textit{G. Schimperna}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2305--2329 (2022; Zbl 1500.35090) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities. (English) Zbl 1493.35123 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 193-228 (2022). MSC: 35Q92 35R11 35K51 PDFBibTeX XMLCite \textit{P. Colli} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 193--228 (2022; Zbl 1493.35123) Full Text: DOI arXiv
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen Optimal control problems with sparsity for tumor growth models involving variational inequalities. (English) Zbl 1492.92014 J. Optim. Theory Appl. 194, No. 1, 25-58 (2022). MSC: 92C32 92C17 49J40 49J20 35K57 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Optim. Theory Appl. 194, No. 1, 25--58 (2022; Zbl 1492.92014) Full Text: DOI arXiv
Chen, Bosheng; Li, Huilai; Liu, Changchun Optimal distributed control for a coupled phase-field system. (English) Zbl 1491.49004 Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1789-1825 (2022). Reviewer: Wei Gong (Beijing) MSC: 49J20 49K20 49J50 35M30 PDFBibTeX XMLCite \textit{B. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1789--1825 (2022; Zbl 1491.49004) Full Text: DOI
Knopf, Patrik; Signori, Andrea Existence of weak solutions to multiphase Cahn-Hilliard-Darcy and Cahn-Hilliard-Brinkman models for stratified tumor growth with chemotaxis and general source terms. (English) Zbl 1484.35148 Commun. Partial Differ. Equations 47, No. 2, 233-278 (2022). MSC: 35D30 35K35 35K86 76D07 92C17 92C50 PDFBibTeX XMLCite \textit{P. Knopf} and \textit{A. Signori}, Commun. Partial Differ. Equations 47, No. 2, 233--278 (2022; Zbl 1484.35148) Full Text: DOI arXiv
Chen, Bosheng; Liu, Changchun Optimal distributed control of a Allen-Cahn/Cahn-Hilliard system with temperature. (English) Zbl 1486.49004 Appl. Math. Optim. 84, Suppl. 2, 1639-1684 (2021). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49J20 49K20 49J50 35B45 35K52 PDFBibTeX XMLCite \textit{B. Chen} and \textit{C. Liu}, Appl. Math. Optim. 84, 1639--1684 (2021; Zbl 1486.49004) Full Text: DOI
Rocca, Elisabetta; Scarpa, Luca; Signori, Andrea Parameter identification for nonlocal phase field models for tumor growth via optimal control and asymptotic analysis. (English) Zbl 1482.35277 Math. Models Methods Appl. Sci. 31, No. 13, 2643-2694 (2021). MSC: 35R30 35B40 49J50 92B05 92C17 PDFBibTeX XMLCite \textit{E. Rocca} et al., Math. Models Methods Appl. Sci. 31, No. 13, 2643--2694 (2021; Zbl 1482.35277) 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; Signori, Andrea; Sprekels, Jürgen Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials. (English) Zbl 1486.35392 Appl. Math. Optim. 83, No. 3, 2017-2049 (2021); correction ibid. 84, No. 3, 3569-3570 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q92 49K20 35K58 49K40 92C37 92C50 35B65 PDFBibTeX XMLCite \textit{P. Colli} et al., Appl. Math. Optim. 83, No. 3, 2017--2049 (2021; Zbl 1486.35392) Full Text: DOI arXiv
Signori, Andrea Penalisation of long treatment time and optimal control of a tumour growth model of Cahn-Hilliard type with singular potential. (English) Zbl 1470.35369 Discrete Contin. Dyn. Syst. 41, No. 6, 2519-2542 (2021). MSC: 35Q92 49J20 49K20 35K86 92C50 92C37 92C17 PDFBibTeX XMLCite \textit{A. Signori}, Discrete Contin. Dyn. Syst. 41, No. 6, 2519--2542 (2021; Zbl 1470.35369) Full Text: DOI arXiv
Scarpa, Luca; Signori, Andrea On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport. (English) Zbl 1468.35217 Nonlinearity 34, No. 5, 3199-3250 (2021). MSC: 35Q92 92C17 35K86 35K61 35K57 35D35 35B40 35B65 35A01 35A02 65J99 35R09 PDFBibTeX XMLCite \textit{L. Scarpa} and \textit{A. Signori}, Nonlinearity 34, No. 5, 3199--3250 (2021; Zbl 1468.35217) Full Text: DOI arXiv Link
Ebenbeck, Matthias; Lam, Kei Fong Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms. (English) Zbl 1440.35190 Adv. Nonlinear Anal. 10, 24-65 (2021). MSC: 35K35 35D30 35J61 35Q92 92C50 76D07 PDFBibTeX XMLCite \textit{M. Ebenbeck} and \textit{K. F. Lam}, Adv. Nonlinear Anal. 10, 24--65 (2021; Zbl 1440.35190) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Asymptotic analysis of a tumor growth model with fractional operators. (English) Zbl 1476.35284 Asymptotic Anal. 120, No. 1-2, 41-72 (2020). Reviewer: Catalin Popa (Iaşi) MSC: 35Q92 92C37 92C17 35A01 35A02 35B65 35B40 26A33 35R11 PDFBibTeX XMLCite \textit{P. Colli} et al., Asymptotic Anal. 120, No. 1--2, 41--72 (2020; Zbl 1476.35284) Full Text: DOI arXiv
Ebenbeck, Matthias; Knopf, Patrik Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth. (English) Zbl 1451.35233 ESAIM, Control Optim. Calc. Var. 26, Paper No. 71, 38 p. (2020). MSC: 35Q92 35K61 76D07 76S05 49J20 92C50 92C37 35A02 PDFBibTeX XMLCite \textit{M. Ebenbeck} and \textit{P. Knopf}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 71, 38 p. (2020; Zbl 1451.35233) Full Text: DOI arXiv
Ebenbeck, Matthias; Knopf, Patrik Optimal medication for tumors modeled by a Cahn-Hilliard-Brinkman equation. (English) Zbl 1418.35246 Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 131, 31 p. (2019). MSC: 35K61 76D07 49J20 49K20 92C50 PDFBibTeX XMLCite \textit{M. Ebenbeck} and \textit{P. Knopf}, Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 131, 31 p. (2019; Zbl 1418.35246) Full Text: DOI arXiv