Aronna, M. Soledad; Tröltzsch, Fredi First and second order optimality conditions for the control of Fokker-Planck equations. (English) Zbl 1467.49002 ESAIM, Control Optim. Calc. Var. 27, Paper No. 15, 26 p. (2021). MSC: 49J20 49K20 49K27 35Q84 PDF BibTeX XML Cite \textit{M. S. Aronna} and \textit{F. Tröltzsch}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 15, 26 p. (2021; Zbl 1467.49002) Full Text: DOI arXiv OpenURL
Casas, Eduardo; Tröltzsch, Fredi On optimal control problems with controls appearing nonlinearly in an elliptic state equation. (English) Zbl 1445.35162 SIAM J. Control Optim. 58, No. 4, 1961-1983 (2020). MSC: 35J61 49J20 49K20 49M25 PDF BibTeX XML Cite \textit{E. Casas} and \textit{F. Tröltzsch}, SIAM J. Control Optim. 58, No. 4, 1961--1983 (2020; Zbl 1445.35162) Full Text: DOI OpenURL
Casas, Eduardo; Tröltzsch, Fredi Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems. (English) Zbl 1337.49038 Vietnam J. Math. 44, No. 1, 181-202 (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49K20 49J20 49K40 35K58 PDF BibTeX XML Cite \textit{E. Casas} and \textit{F. Tröltzsch}, Vietnam J. Math. 44, No. 1, 181--202 (2016; Zbl 1337.49038) Full Text: DOI Link OpenURL
Casas, Eduardo; Tröltzsch, Fredi First- and second-order optimality conditions for a class of optimal control problems with quasilinear elliptic equations. (English) Zbl 1194.49025 SIAM J. Control Optim. 48, No. 2, 688-718 (2009). MSC: 49K20 35J65 49N60 35Q93 PDF BibTeX XML Cite \textit{E. Casas} and \textit{F. Tröltzsch}, SIAM J. Control Optim. 48, No. 2, 688--718 (2009; Zbl 1194.49025) Full Text: DOI Link OpenURL
de Los Reyes, J. C.; Merino, P.; Rehberg, J.; Tröltzsch, F. Optimality conditions for state-constrained PDE control problems with time-dependent controls. (English) Zbl 1153.49006 Control Cybern. 37, No. 1, 5-38 (2008). MSC: 49J20 35K15 PDF BibTeX XML Cite \textit{J. C. de Los Reyes} et al., Control Cybern. 37, No. 1, 5--38 (2008; Zbl 1153.49006) Full Text: EuDML OpenURL
Rösch, A.; Tröltzsch, F. Sufficient second-order optimality conditions for an elliptic optimal control problem with pointwise control-state constraints. (English) Zbl 1119.49022 SIAM J. Optim. 17, No. 3, 776-794 (2006). MSC: 49K20 90C48 35J25 PDF BibTeX XML Cite \textit{A. Rösch} and \textit{F. Tröltzsch}, SIAM J. Optim. 17, No. 3, 776--794 (2006; Zbl 1119.49022) Full Text: DOI OpenURL
Rösch, A.; Tröltzsch, F. Sufficient second-order optimality conditions for a parabolic optimal control problem with pointwise control-state constraints. (English) Zbl 1038.49028 SIAM J. Control Optimization 42, No. 1, 138-154 (2003). MSC: 49K20 90C46 35K55 PDF BibTeX XML Cite \textit{A. Rösch} and \textit{F. Tröltzsch}, SIAM J. Control Optim. 42, No. 1, 138--154 (2003; Zbl 1038.49028) Full Text: DOI OpenURL
Eppler, Karsten; Tröltzsch, Fredi Optimal control problems for the nonlinear heat equation. (English) Zbl 1006.49015 Grötschel, Martin (ed.) et al., Online optimization of large scale systems. Berlin: Springer. 173-183 (2001). MSC: 49K20 35K55 93C10 PDF BibTeX XML Cite \textit{K. Eppler} and \textit{F. Tröltzsch}, in: Online optimization of large scale systems. Berlin: Springer. 173--183 (2001; Zbl 1006.49015) OpenURL
Tröltzsch, Fredi Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems. (English) Zbl 0790.49025 Bulirsch, R. (ed.) et al., Optimal control. Calculus of variations, optimal control theory and numerical methods. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 111, 57-68 (1993). MSC: 49K20 PDF BibTeX XML Cite \textit{F. Tröltzsch}, ISNM, Int. Ser. Numer. Math. 111, 57--68 (1993; Zbl 0790.49025) OpenURL
Tröltzsch, F. Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal controls. (English) Zbl 0729.49019 Optimization 22, No. 1, 83-98 (1991). Reviewer: K.Malanowski (Warszawa) MSC: 49K22 49K20 49M05 PDF BibTeX XML Cite \textit{F. Tröltzsch}, Optimization 22, No. 1, 83--98 (1991; Zbl 0729.49019) Full Text: DOI OpenURL
Tröltzsch, F. Semigroups methods and approximation of nonlinear parabolic boundary control problems. (English) Zbl 0703.49019 System modelling and optimization, Proc. 14th IFIP Conf., Leipzig/GDR 1989, Lect. Notes Control Inf. Sci. 143, 423-431 (1990). Reviewer: F.Tröltzsch MSC: 49K20 49M15 35B37 49K40 49K27 PDF BibTeX XML OpenURL
Tröltzsch, F. Semidiscrete finite element approximation of parabolic boundary control problems. Convergence of switching points. (English) Zbl 0606.49022 Optimal control of partial differential equations II: theory and applications, Conf. Oberwolfach/Ger. 1986, ISNM 78, 219-232 (1987). Reviewer: E.Sachs MSC: 49M15 49K20 49K30 35K20 65K10 65N30 93B40 93C05 93C20 PDF BibTeX XML OpenURL