Kenne, Cyrille; Djomegne, Landry; Mophou, Gisèle Optimal control of a parabolic equation with a nonlocal nonlinearity. (English) Zbl 1527.35162 J. Differ. Equations 378, 234-263 (2024). MSC: 35K58 35K20 35Q93 49K20 90C46 92D25 PDFBibTeX XMLCite \textit{C. Kenne} et al., J. Differ. Equations 378, 234--263 (2024; Zbl 1527.35162) Full Text: DOI arXiv
Atar, Rami; Wolansky, Gershon Invariance principle and McKean-Vlasov limit for randomized load balancing in heavy traffic. arXiv:2402.18143 Preprint, arXiv:2402.18143 [math.PR] (2024). MSC: 68M20 90B22 60F17 35K20 BibTeX Cite \textit{R. Atar} and \textit{G. Wolansky}, ``Invariance principle and McKean-Vlasov limit for randomized load balancing in heavy traffic'', Preprint, arXiv:2402.18143 [math.PR] (2024) Full Text: arXiv OA License
Herzog, Roland; Pietschmann, Jan-Frederik; Winkler, Max Optimal control of Hughes’ model for pedestrian flow via local attraction. (English) Zbl 07771774 Appl. Math. Optim. 88, No. 3, Paper No. 87, 44 p. (2023). MSC: 35Q93 49J20 35K20 76A30 90B20 35B65 35A24 93C20 PDFBibTeX XMLCite \textit{R. Herzog} et al., Appl. Math. Optim. 88, No. 3, Paper No. 87, 44 p. (2023; Zbl 07771774) Full Text: DOI arXiv OA License
Demir Sağlam, Sevilay Polyhedral optimization of discrete and partial differential inclusions of parabolic type. (English) Zbl 1520.49011 Optimization 72, No. 8, 2175-2197 (2023). MSC: 49K20 49M25 49M05 35G45 35K20 49N05 90C59 PDFBibTeX XMLCite \textit{S. Demir Sağlam}, Optimization 72, No. 8, 2175--2197 (2023; Zbl 1520.49011) Full Text: DOI
Fernández-Cara, Enrique; Límaco, Juan; Thamsten, Yuri; Menezes, Denilson Local null controllability of a quasi-linear system and related numerical experiments. (English) Zbl 1512.35360 ESAIM, Control Optim. Calc. Var. 29, Paper No. 27, 34 p. (2023). MSC: 35K20 35K59 90C53 93C20 PDFBibTeX XMLCite \textit{E. Fernández-Cara} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 27, 34 p. (2023; Zbl 1512.35360) Full Text: DOI
de Carvalho, P. P.; Demarque, R.; Límaco, J.; Viana, L. Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities. (English) Zbl 1509.35142 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 3, Paper No. 32, 45 p. (2023). MSC: 35K65 35K20 35K59 65M60 90C53 93B05 PDFBibTeX XMLCite \textit{P. P. de Carvalho} et al., NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 3, Paper No. 32, 45 p. (2023; Zbl 1509.35142) Full Text: DOI
Dinh, Tuan Nguyen Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations. (English) Zbl 1485.35271 Set-Valued Var. Anal. 30, No. 1, 257-281 (2022). MSC: 35K58 35K20 49K20 49K27 90C29 90C46 PDFBibTeX XMLCite \textit{T. N. Dinh}, Set-Valued Var. Anal. 30, No. 1, 257--281 (2022; Zbl 1485.35271) Full Text: DOI
Hoppe, Fabian; Neitzel, Ira Convergence of the SQP method for quasilinear parabolic optimal control problems. (English) Zbl 1481.35259 Optim. Eng. 22, No. 4, 2039-2085 (2021). MSC: 35K59 35K20 49K20 90C48 49N60 65K10 90C55 49M15 49M37 PDFBibTeX XMLCite \textit{F. Hoppe} and \textit{I. Neitzel}, Optim. Eng. 22, No. 4, 2039--2085 (2021; Zbl 1481.35259) Full Text: DOI
Hadri, Aissam; Khalfi, Hamza; Laghrib, Amine; Nachaoui, Mourad An improved spatially controlled reaction-diffusion equation with a non-linear second order operator for image super-resolution. (English) Zbl 1478.94043 Nonlinear Anal., Real World Appl. 62, Article ID 103352, 28 p. (2021). MSC: 94A08 68U10 49N45 90C26 90C30 35K20 35K55 35K59 PDFBibTeX XMLCite \textit{A. Hadri} et al., Nonlinear Anal., Real World Appl. 62, Article ID 103352, 28 p. (2021; Zbl 1478.94043) Full Text: DOI
Gong, Yuxuan; Li, Peijun; Wang, Xu; Xu, Xiang Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift. (English) Zbl 1475.35432 Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021). Reviewer: Robert Plato (Siegen) MSC: 35R60 26A33 35A01 35A02 35R11 35R30 35R25 49M37 60G60 60H40 60J65 65M30 65M32 65T50 90C25 35K20 PDFBibTeX XMLCite \textit{Y. Gong} et al., Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021; Zbl 1475.35432) Full Text: DOI arXiv
Reddy, Sohail R.; Dulikravich, George S. Simultaneous determination of spatially varying thermal conductivity and specific heat using boundary temperature measurements. (English) Zbl 1466.80007 Inverse Probl. Sci. Eng. 27, No. 11, 1635-1649 (2019). MSC: 80A23 80A19 80A21 35R30 35K20 35K05 80M50 65K10 90C59 PDFBibTeX XMLCite \textit{S. R. Reddy} and \textit{G. S. Dulikravich}, Inverse Probl. Sci. Eng. 27, No. 11, 1635--1649 (2019; Zbl 1466.80007) Full Text: DOI
Gomes, Susana N.; Stuart, Andrew M.; Wolfram, Marie-Therese Parameter estimation for macroscopic pedestrian dynamics models from microscopic data. (English) Zbl 1420.35112 SIAM J. Appl. Math. 79, No. 4, 1475-1500 (2019). MSC: 35K20 35R30 62F15 93E10 90B20 PDFBibTeX XMLCite \textit{S. N. Gomes} et al., SIAM J. Appl. Math. 79, No. 4, 1475--1500 (2019; Zbl 1420.35112) Full Text: DOI arXiv
Alla, A.; Falcone, M.; Volkwein, S. Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. (English) Zbl 1378.49025 SIAM J. Control Optim. 55, No. 5, 3091-3115 (2017). MSC: 49L20 90C39 35K20 49L25 49J20 65N99 49M25 PDFBibTeX XMLCite \textit{A. Alla} et al., SIAM J. Control Optim. 55, No. 5, 3091--3115 (2017; Zbl 1378.49025) Full Text: DOI arXiv
Rapoport, E. Ya. Open-loop implementation of feedbacks in parametric optimization problems for incompletely determined systems with distributed parameters. (English. Russian original) Zbl 1383.93042 J. Comput. Syst. Sci. Int. 55, No. 3, 365-379 (2016); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2016, No. 3, 36-50 (2016). MSC: 93C41 90C34 49N35 93B40 93B52 35K20 PDFBibTeX XMLCite \textit{E. Ya. Rapoport}, J. Comput. Syst. Sci. Int. 55, No. 3, 365--379 (2016; Zbl 1383.93042); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2016, No. 3, 36--50 (2016) Full Text: DOI
Kowalewski, Adam; Krakowiak, Anna Optimal boundary control problems of retarded parabolic systems. (English) Zbl 1291.49002 Arch. Control Sci. 23, No. 3, 261-279 (2013). MSC: 49J20 49K20 49N10 35K20 90C20 PDFBibTeX XMLCite \textit{A. Kowalewski} and \textit{A. Krakowiak}, Arch. Control Sci. 23, No. 3, 261--279 (2013; Zbl 1291.49002) Full Text: DOI Link
May, Sandra; Berger, Marsha Two-dimensional slope limiters for finite volume schemes on non-coordinate-aligned meshes. (English) Zbl 1281.65116 SIAM J. Sci. Comput. 35, No. 5, A2163-A2187 (2013). MSC: 65M08 65M50 90C05 35K20 PDFBibTeX XMLCite \textit{S. May} and \textit{M. Berger}, SIAM J. Sci. Comput. 35, No. 5, A2163--A2187 (2013; Zbl 1281.65116) Full Text: DOI
Burdakov, Oleg; Kapyrin, Ivan; Vassilevski, Yuri Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions. (English) Zbl 1242.65114 J. Comput. Phys. 231, No. 8, 3126-3142 (2012). MSC: 65K05 90C06 90C20 35K20 65M60 PDFBibTeX XMLCite \textit{O. Burdakov} et al., J. Comput. Phys. 231, No. 8, 3126--3142 (2012; Zbl 1242.65114) Full Text: DOI Link
Figalli, Alessio; Gigli, Nicola A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions. (English) Zbl 1203.35126 J. Math. Pures Appl. (9) 94, No. 2, 107-130 (2010). Reviewer: Giuseppe Buttazzo (Pisa) MSC: 35K20 35K55 49Q20 49J45 90B06 PDFBibTeX XMLCite \textit{A. Figalli} and \textit{N. Gigli}, J. Math. Pures Appl. (9) 94, No. 2, 107--130 (2010; Zbl 1203.35126) Full Text: DOI
Gugat, Martin Lavrentiev prox-regularization methods for optimal control problems with pointwise state constraints. (English) Zbl 1197.49042 Kunisch, Karl (ed.) et al., Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Basel: Birkhäuser (ISBN 978-3-7643-8922-2/hbk; 978-3-7643-8923-9/ebook). ISNM. International Series of Numerical Mathematics 158, 139-153 (2009). MSC: 49N60 90C31 35K20 35Q93 PDFBibTeX XMLCite \textit{M. Gugat}, ISNM, Int. Ser. Numer. Math. 158, 139--153 (2009; Zbl 1197.49042)
Bahaa, G. M. Quadratic Pareto optimal control for boundary infinite order parabolic equation with state-control constraints. (English) Zbl 1151.49306 Adv. Model. Optim. 9, No. 1, 37-51 (2007). MSC: 49K20 35K20 90C29 PDFBibTeX XMLCite \textit{G. M. Bahaa}, Adv. Model. Optim. 9, No. 1, 37--51 (2007; Zbl 1151.49306) Full Text: Link
Medvedev, A. V.; Sokolov, B. M.; Shepelyavyi, A. I. Stability of the solutions of the observation error equations at control of the steel converter process. (English. Russian original) Zbl 1145.93036 Autom. Remote Control 68, No. 9, 1471-1475 (2007); translation from Avtom. Telemekh. 2007, No. 9, 3-8 (2007). MSC: 93C95 93C20 90B30 35K20 PDFBibTeX XMLCite \textit{A. V. Medvedev} et al., Autom. Remote Control 68, No. 9, 1471--1475 (2007; Zbl 1145.93036); translation from Avtom. Telemekh. 2007, No. 9, 3--8 (2007) Full Text: DOI
Wang, S.; Yang, X. Q.; Teo, K. L. Power penalty method for a linear complementarity problem arising from American option valuation. (English) Zbl 1139.91020 J. Optim. Theory Appl. 129, No. 2, 227-254 (2006). MSC: 91G80 90C33 35K20 91G60 PDFBibTeX XMLCite \textit{S. Wang} et al., J. Optim. Theory Appl. 129, No. 2, 227--254 (2006; Zbl 1139.91020) Full Text: DOI
Ramos, A. M.; Glowinski, R.; Periaux, J. Nash equilibria for the multiobjective control of linear partial differential equations. (English) Zbl 1012.49020 J. Optimization Theory Appl. 112, No. 3, 457-498 (2002). MSC: 49K20 35K20 91A10 35B37 90C29 49M25 PDFBibTeX XMLCite \textit{A. M. Ramos} et al., J. Optim. Theory Appl. 112, No. 3, 457--498 (2002; Zbl 1012.49020) Full Text: DOI
Teo, K. L.; Wilson, S. J. Convergence of a feasible directions algorithm for a distributed optimal control problem of parabolic type with terminal inequality constraints. (English) Zbl 0569.49024 J. Optimization Theory Appl. 49, 463-476 (1986). MSC: 90C99 35K20 49K20 49M20 65K10 93B40 93C05 93C20 PDFBibTeX XMLCite \textit{K. L. Teo} and \textit{S. J. Wilson}, J. Optim. Theory Appl. 49, 463--476 (1986; Zbl 0569.49024) Full Text: DOI
Neittaanmäki, Pekka; Laitinen, Erkki Optimization of cooling conditions in continuous casting. (English) Zbl 0613.65069 Ber., Univ. Jyväskylä 31, 249-257 (1985). MSC: 65K10 90C52 35K20 80A17 49K20 PDFBibTeX XMLCite \textit{P. Neittaanmäki} and \textit{E. Laitinen}, Ber., Univ. Jyväskylä, Math. Inst. 31, 249--257 (1985; Zbl 0613.65069)
Humeau, J. P.; Grolleau, M. Coefficient control for a distributed parabolic system. (English) Zbl 0555.49014 Math. Comput. Simulation 27, 1-17 (1985). MSC: 49K15 35K20 90C99 65K10 93B40 93C20 93C05 PDFBibTeX XMLCite \textit{J. P. Humeau} and \textit{M. Grolleau}, Math. Comput. Simul. 27, 1--17 (1985; Zbl 0555.49014) Full Text: DOI
Thangaraj, D.; Venkatarangan, S. N. Complementary variational principles for a class of nonlinear convective mass transfer problems. (English) Zbl 0554.49008 Indian J. Pure Appl. Math. 16, 117-125 (1985). MSC: 49N15 49K10 90C33 80A32 35K20 PDFBibTeX XMLCite \textit{D. Thangaraj} and \textit{S. N. Venkatarangan}, Indian J. Pure Appl. Math. 16, 117--125 (1985; Zbl 0554.49008)
Teo, K. L.; Wu, Z. S. Computational methods for optimizing distributed systems. (English) Zbl 0551.93024 Mathematics in Science and Engineering, Vol. 173. Orlando etc.: Academic Press, Inc. XIII, 317 p. $ 62.00; £43.50 (1984). Reviewer: M.A.Ibiejugba MSC: 93B40 65K10 93-01 35B37 35K20 49K20 49M05 90C52 93C05 93C20 93E20 PDFBibTeX XML
Teo, K. L. Convergence of a conditional gradient algorithm for relaxed controls involving first boundary value problems of parabolic type. (English) Zbl 0552.49026 Numer. Funct. Anal. Optimization 6, 457-491 (1983). Reviewer: T.Seidman MSC: 90C52 35K20 65K10 35B37 49J20 93B40 93C05 93C20 PDFBibTeX XMLCite \textit{K. L. Teo}, Numer. Funct. Anal. Optim. 6, 457--491 (1983; Zbl 0552.49026) Full Text: DOI
Kotarski, W.; Kowalewski, A. On optimal control problem with initial state not a priori given. (English) Zbl 0531.49002 Probl. Control Inf. Theory 12, 349-359 (1983). Reviewer: I.Vrabie MSC: 49J20 35K20 90C52 35B37 93C05 93C20 93C99 PDFBibTeX XMLCite \textit{W. Kotarski} and \textit{A. Kowalewski}, Probl. Control Inf. Theory 12, 349--359 (1983; Zbl 0531.49002)
Lasiecka, Irena; Triggiani, Roberto Dirichlet boundary control problems for parabolic equations with quadratic cost: Analyticity and Riccati’s feedback synthesis. (English) Zbl 0483.49026 System modeling and optimization, Proc. 10th IFIP Conf., New York 1981, Lect. Notes Contr. Inf. Sci. 38, 362-365 (1982). MSC: 90C20 49J20 35K20 PDFBibTeX XML
Kowalewski, A.; Kotarski, W. On the application of conical approximations to an optimal control problem for systems described by partial differential equations of parabolic type with time delay. (English) Zbl 0476.49013 Probl. Control Inf. Theory 10, 341-351 (1981). MSC: 49K20 35R10 90C20 35K20 35K15 PDFBibTeX XMLCite \textit{A. Kowalewski} and \textit{W. Kotarski}, Probl. Control Inf. Theory 10, 341--351 (1981; Zbl 0476.49013)
Baumeister, Johann Ein Iterationsverfahren zur Lösung eines parabolischen freien Randwertproblems. (German) Zbl 0377.65061 Numer. Behandl. Differ.-Gleich. Randwertaufg., Tag. Oberwolfach 1977, ISNM 39, 23-41 (1978). MSC: 65N30 35K20 90C99 PDFBibTeX XML