Dekhkonov, Farrukh N. Time-optimal control problem associated with a fourth-order parabolic equation. (English) Zbl 07947827 Mat. Zamet. SVFU 31, No. 2, 70-80 (2024). MSC: 49J20 35K25 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kundu, A.; Mahato, H. S. Existence of solution for an optimal control problem in a heterogeneous porous medium. (English) Zbl 07946831 IMA J. Math. Control Inf. 41, No. 2, 328-355 (2024). MSC: 35K57 35B27 35K51 35K91 35Q93 76M50 × Cite Format Result Cite Review PDF Full Text: DOI
Colli, Pierluigi; Sprekels, Jürgen; Tröltzsch, Fredi Optimality conditions for sparse optimal control of viscous Cahn-Hilliard systems with logarithmic potential. (English) Zbl 07930230 Appl. Math. Optim. 90, No. 2, Paper No. 47, 48 p. (2024). MSC: 35K51 49K20 49N90 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fornoni, Matteo Maximal regularity and optimal control for a non-local Cahn-Hilliard tumour growth model. (English) Zbl 07923711 J. Differ. Equations 410, 382-448 (2024). Reviewer: Joseph Shomberg (Providence) MSC: 35K61 35B65 35K52 45K05 49K20 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiaoli Optimal distributed control of the viscous Cahn-Hilliard-Oono system with chemotaxis. (English) Zbl 07923325 Evol. Equ. Control Theory 13, No. 6, 1486-1522 (2024). MSC: 92C17 49J20 49K20 35K61 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Djomegne, Landry; Kenne, Cyrille Stackelberg exact controllability of a class of nonlocal parabolic equations. (English) Zbl 07920193 ESAIM, Control Optim. Calc. Var. 30, Paper No. 57, 32 p. (2024). MSC: 35K20 35R09 49J20 93B05 93B07 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Esmaili, Sakine; Eslahchi, M. R.; Torres, Delfim F. M. Optimal control for a nonlinear stochastic PDE model of cancer growth. (English) Zbl 07919197 Optimization 73, No. 9, 2745-2789 (2024). MSC: 92Cxx 92Dxx 49S05 49J55 49J20 49J15 49K45 49K20 49K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kenne, Cyrille; Djomegne, Landry; Zongo, Pascal Second-order optimality conditions for the bilinear optimal control of a degenerate equation. (English) Zbl 07916288 Appl. Anal. 103, No. 13, 2431-2454 (2024). MSC: 35Q93 35B50 35K65 35K20 49J20 49K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gander, Martin J.; Lu, Liu-Di New time domain decomposition methods for parabolic optimal control problems. I: Dirichlet-Neumann and Neumann-Dirichlet algorithms. (English) Zbl 1544.65165 SIAM J. Numer. Anal. 62, No. 4, 2048-2070 (2024). MSC: 65M55 65M12 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shojaeizadeh, Tahereh; Golpar-Raboky, E.; Rahimkhani, Parisa A pseudo-operational collocation method for optimal control problems of fractal-fractional nonlinear Ginzburg-Landau equation. (English) Zbl 07908213 Iran. J. Numer. Anal. Optim. 14, No. 3, 875-899 (2024). MSC: 35R30 65M32 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Führer, Thomas; Karkulik, Michael Space-time least-squares finite element methods for parabolic distributed optimal control problems. (English) Zbl 1543.65151 Comput. Methods Appl. Math. 24, No. 3, 673-691 (2024). MSC: 65M60 35K20 49M41 65M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cherfils, Laurence; Gatti, Stefania; Miranville, Alain; Raad, Hussein; Guillevin, Rémy Optimal control of therapies on a tumor growth model with brain lactate kinetics. (English) Zbl 1542.92057 Discrete Contin. Dyn. Syst., Ser. S 17, No. 7, 2298-2322 (2024). MSC: 92C50 35Q92 35K51 35K58 49J20 49K20 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xue-Lei; Wu, Shu-Lin A parallel-in-time preconditioner for Crank-Nicolson discretization of a parabolic optimal control problem. (English) Zbl 1544.49029 J. Comput. Appl. Math. 451, Article ID 116106, 16 p. (2024). MSC: 49N10 65F08 65M22 49M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rezazadeh, Arezou; Darehmiraki, Majid Space-time spectral method for an optimal control problem governed by a two-dimensional PDE constraint. (English) Zbl 1541.49017 Trans. A. Razmadze Math. Inst. 178, No. 1, 115-127 (2024). MSC: 49M41 35K20 49K20 49M05 49M25 × Cite Format Result Cite Review PDF Full Text: Link
Huang, Liuping; Zhao, Hai; Sun, Tongjun An iterative proper orthogonal decomposition method for a parabolic optimal control problem. (English) Zbl 1543.49025 J. Appl. Math. Comput. 70, No. 1, 47-72 (2024). MSC: 49M41 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Curvature effects in pattern formation: well-posedness and optimal control of a sixth-order Cahn-Hilliard equation. (English) Zbl 1543.35092 SIAM J. Math. Anal. 56, No. 4, 4928-4969 (2024). MSC: 35K55 35K51 49J20 49K20 49J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Xun; Luo, Xianbing Finite element error estimation for parabolic optimal control with measurement data. (English) Zbl 1543.65200 Results Appl. Math. 22, Article ID 100456, 17 p. (2024). MSC: 65N30 65N15 49J20 49K20 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Joorsara, Zeinab; Hosseini, Seyed Mohammad; Esmaili, Sakine Optimal control in reducing side effects during and after chemotherapy of solid tumors. (English) Zbl 07872007 Math. Methods Appl. Sci. 47, No. 11, 8857-8880 (2024). MSC: 49M25 35K20 65M70 92B99 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Caijie; Fu, Hongfei; Sun, Tongjun A priori error estimates of VSBDF2 schemes for solving parabolic distributed optimal control problems. (English) Zbl 07861471 Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108030, 23 p. (2024). MSC: 65Mxx 49Mxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Karatzas, Efthymios N. Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes. (English) Zbl 07859643 Comput. Math. Appl. 165, 70-87 (2024). MSC: 49-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, H.; Hou, T. New a posteriori error estimates for optimal control problems governed by parabolic integro-differential equations. (Russian. English summary) Zbl 1539.49024 Sib. Zh. Vychisl. Mat. 27, No. 1, 83-95 (2024). MSC: 49M25 49J20 65K10 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Shakya, Pratibha; Sinha, Rajen Kumar Analysis for the space-time a posteriori error estimates for mixed finite element solutions of parabolic optimal control problems. (English) Zbl 1541.65110 Numer. Algorithms 96, No. 2, 879-924 (2024). MSC: 65M60 65M06 65N30 65M15 65N12 49J20 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Shel, Farhat Optimal polynomial thermoelastic stability of a composite material. (English) Zbl 1540.35067 Evol. Equ. Control Theory 13, No. 2, 305-315 (2024). MSC: 35B40 35G46 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Chen; Yan, Lixu; Fu, Yongqiang Existence of solutions to stochastic \(p(t, x)\)-Laplace equations and applications. (English) Zbl 1540.35477 Electron. J. Differ. Equ. 2024, Paper No. 27, 18 p. (2024). MSC: 35R60 35K20 35K92 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Langer, Ulrich; Steinbach, Olaf; Yang, Huidong Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization. (English) Zbl 1537.49003 Adv. Comput. Math. 50, No. 2, Paper No. 24, 30 p. (2024). MSC: 49J20 49M05 35K20 65F08 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guth, Philipp A.; Kaarnioja, Vesa; Kuo, Frances Y.; Schillings, Claudia; Sloan, Ian H. Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. (English) Zbl 1537.65017 Numer. Math. 156, No. 2, 565-608 (2024). MSC: 65D30 35K20 35R60 49M41 65C05 65D32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poiatti, Andrea; Signori, Andrea Regularity results and optimal velocity control of the convective nonlocal Cahn-Hilliard equation in 3D. (English) Zbl 1540.35423 ESAIM, Control Optim. Calc. Var. 30, Paper No. 21, 36 p. (2024). MSC: 35Q93 35K55 35K61 49J20 49K20 49N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Xiaoru; Yi, Fahuai; Zhang, Jianbo A reversible investment problem with capacity and demand in finite horizon: free boundary analysis. (English) Zbl 1535.91034 SIAM J. Control Optim. 62, No. 2, 1207-1234 (2024). MSC: 91G50 93E20 49J40 47J20 35K85 × Cite Format Result Cite Review PDF Full Text: DOI
Grecksch, Wilfried; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane Optimal control of stochastic variational inequalities. (English) Zbl 1537.35433 Minimax Theory Appl. 9, No. 1, 117-128 (2024). MSC: 35R60 35K85 49N45 65J20 65J22 65M30 × Cite Format Result Cite Review PDF Full Text: Link
Corrêa Vianna Filho, André Luiz; Guillén-González, Francisco Optimal control related to weak solutions of a chemotaxis-consumption model. (English) Zbl 1537.35203 Appl. Math. Optim. 89, No. 2, Paper No. 48, 35 p. (2024). MSC: 35K51 35K59 92C17 49J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hernández, Diana I.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. An optimal control problem for a Lotka-Volterra competition model with chemo-repulsion. (English) Zbl 07815367 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 721-751 (2024). MSC: 35K51 35Q92 49J20 49K20 × Cite Format Result Cite Review PDF Full Text: DOI
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 1534.35244 ESAIM, Control Optim. Calc. Var. 30, Paper No. 13, 25 p. (2024). MSC: 35K57 35K51 35Q93 37N25 49J50 49J52 49K20 49K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehdaoui, Mohamed; Lacitignola, Deborah; Tilioua, Mouhcine Optimal social distancing through cross-diffusion control for a disease outbreak PDE model. (English) Zbl 1534.35242 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107855, 27 p. (2024). MSC: 35K57 35K51 49J20 49K20 92D25 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Ciaramella, Gabriele; Halpern, Laurence; Mechelli, Luca Convergence analysis and optimization of a Robin Schwarz waveform relaxation method for time-periodic parabolic optimal control problems. (English) Zbl 07807983 J. Comput. Phys. 496, Article ID 112572, 25 p. (2024). MSC: 65Nxx 65Mxx 49Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Song, Junpeng; Rui, Hongxing Reduced-order finite element approximation based on POD for the parabolic optimal control problem. (English) Zbl 1534.65188 Numer. Algorithms 95, No. 3, 1189-1211 (2024). MSC: 65M60 49K20 65M15 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela Global solution and optimal control of an epidemic propagation with a heterogeneous diffusion. (English) Zbl 1531.35152 Appl. Math. Optim. 89, No. 1, Paper No. 28, 27 p. (2024). MSC: 35K51 35K57 46N60 49J20 49J50 49K20 92D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fornoni, Matteo Optimal distributed control for a viscous non-local tumour growth model. (English) Zbl 1530.35322 Appl. Math. Optim. 89, No. 1, Paper No. 8, 60 p. (2024). MSC: 35Q92 92C50 92C37 92C17 35K61 35B65 35D30 35R09 45K05 49K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colli, Pierluigi; Sprekels, Jürgen Second-order optimality conditions for the sparse optimal control of nonviscous Cahn-Hilliard systems. arXiv:2406.02384 Preprint, arXiv:2406.02384 [math.OC] (2024). MSC: 35K52 49K20 49N90 93C20 × Cite Format Result Cite Full Text: arXiv
Li, Yiqun; Wang, Hong; Zheng, Xiangcheng Addressing complex boundary conditions of miscible flow and transport in two and three dimensions with application to optimal control. arXiv:2403.14079 Preprint, arXiv:2403.14079 [math.OC] (2024). MSC: 35K20 49J20 49K20 76S05 × Cite Format Result Cite Full Text: arXiv OA License
Jakobsen, Espen R.; Rutkowski, Artur Towards a Schauder theory for fractional viscous Hamilton–Jacobi equations. arXiv:2403.03884 Preprint, arXiv:2403.03884 [math.AP] (2024). MSC: 49L12 35S10 35A01 35K08 45K05 35K61 35B65 35A09 × Cite Format Result Cite Full Text: arXiv
Lin, Chun-Chi; Tran, The Dung WITHDRAWN: A gradient flow method for smooth splines versus least-squares fitting on Riemannian manifolds. arXiv:2402.18067 Preprint, arXiv:2402.18067 [math.OC] (2024); retraction notice ibid. MSC: 35K52 49J20 41A15 35K25 × Cite Format Result Cite Full Text: arXiv
Leiva, Hugo Pontryagin’s maximum principle for optimal control problems governed by nonlinear impulsive differential equation. (English) Zbl 07907800 J. Math. Appl. 46, 15-68 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49K20 49N25 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Yunfei; Liu, Changchun Optimal control for a fully parabolic singular chemotaxis model with indirect signal consumption in two space dimensions. (English) Zbl 1541.92024 Appl. Anal. 102, No. 17, 4779-4804 (2023). MSC: 92C17 49J20 49K20 35K51 × Cite Format Result Cite Review PDF Full Text: DOI
Tagiyev, Rafiq K.; Maharramli, Shahla I. Existence and uniqueness of a generalized solution to a boundary value problem for a multidimensional parabolic equation with an integral boundary condition. (English) Zbl 1533.35196 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 43, No. 1, Math., 133-141 (2023). MSC: 35K20 35D30 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Chebotarev, A. Yu. Optimal multiplicative control of a semilinear parabolic equation. (Russian. English summary) Zbl 1533.35202 Dal’nevost. Mat. Zh. 23, No. 2, 270-277 (2023). MSC: 35K58 35K20 35Q79 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Xu, Changling; Li, Huilai Two-grid methods of finite element approximation for parabolic integro-differential optimal control problems. (English) Zbl 1532.65120 Electron. Res. Arch. 31, No. 8, 4818-4842 (2023). MSC: 65N55 65N50 65M60 65M06 65N30 65M12 65M15 35R09 49M25 49K20 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Sprekels, Jürgen; Tröltzsch, Fredi Second-order sufficient conditions for sparse optimal control of singular Allen-Cahn systems with dynamic boundary conditions. (English) Zbl 1532.49022 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3784-3812 (2023). MSC: 49J50 49J52 35K20 35K55 49K20 × Cite Format Result Cite Review PDF 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 1532.35277 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3573-3605 (2023). MSC: 35K61 35K51 35K55 49J20 49K20 49J50 × Cite Format Result Cite Review PDF 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 1532.35278 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3552-3572 (2023). MSC: 35K61 35K51 35K59 49J20 49K20 49J50 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leykekhman, Dmitriy; Vexler, Boris; Wagner, Jakob Fully discrete pointwise smoothing error estimates for measure valued initial data. (English) Zbl 1541.65102 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3091-3111 (2023). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65N30 65M15 35K10 35B65 35R06 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baroun, Mahmoud; Boulite, Said; Elgrou, Abdellatif; Maniar, Lahcen Null controllability for stochastic parabolic equations with dynamic boundary conditions. (English) Zbl 1537.93081 J. Dyn. Control Syst. 29, No. 4, 1727-1756 (2023). Reviewer: Juan Ramón Torregrosa Sánchez (València) MSC: 93B05 93B07 93E20 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Shu-Lin; Wang, Zhiyong; Zhou, Tao PinT preconditioner for forward-backward evolutionary equations. (English) Zbl 1530.65114 SIAM J. Matrix Anal. Appl. 44, No. 4, 1771-1798 (2023). MSC: 65M55 65F08 65F10 65F22 65F15 65J20 65H10 49M41 65M06 65L06 65M12 65M15 65Y05 15B05 93B05 93B20 × Cite Format Result Cite Review PDF Full Text: DOI
Cabanillas Zannini, Victor R.; Quispe Méndez, Teófanes; Ramos, Anderson J. A. Laminated beams with thermoelasticity acting on the shear force. (English) Zbl 1529.35047 Math. Methods Appl. Sci. 46, No. 1, 1352-1374 (2023). MSC: 35B40 35G46 74F05 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
Pukal’s’kyĭ, I. D.; Luste, I. P. Optimal control problem for a \(2b\)-parabolic equation with an integral non-local condition. (Ukrainian. English summary) Zbl 1538.35406 Bukovyn. Mat. Zh. 11, No. 1, 106-114 (2023). MSC: 35Q93 35K35 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
del Teso, Félix; Lindgren, Erik Finite difference schemes for the parabolic \(p\)-Laplace equation. (English) Zbl 1533.65115 S\(\vec{\text{e}}\)MA J. 80, No. 4, 527-547 (2023). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 35K10 35K55 35K92 35K67 35D40 35B05 49L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choquet, Catherine; Diédhiou, Moussa Mory; El Dine, Houssein Nasser; Saint-Jean, Christophe A numerical scheme for the optimal control of groundwater pollution. (English) Zbl 1535.65152 Numer. Methods Partial Differ. Equations 39, No. 4, 3037-3063 (2023). MSC: 65M08 65M06 65N08 65M12 76S05 74F10 74L05 85A05 49M41 49K20 93C20 47H10 76M12 74S10 35Q35 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Herzog, Roland; Pietschmann, Jan-Frederik; Winkler, Max Optimal control of Hughes’ model for pedestrian flow via local attraction. (English) Zbl 1540.35420 Appl. Math. Optim. 88, No. 3, Paper No. 87, 44 p. (2023). Reviewer: Baasansuren Jadamba (Rochester) MSC: 35Q93 49J20 35K20 76A30 90B20 35B65 35A24 93C20 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morelli, Umberto Emil; Barral, Patricia; Quintela, Peregrina; Rozza, Gianluigi; Stabile, Giovanni Novel methodologies for solving the inverse unsteady heat transfer problem of estimating the boundary heat flux in continuous casting molds. (English) Zbl 07769159 Int. J. Numer. Methods Eng. 124, No. 6, 1344-1380 (2023). MSC: 80Axx 65Mxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jeon, Seongmin; Petrosyan, Arshak Regularity of almost minimizers for the parabolic thin obstacle problem. (English) Zbl 1540.35473 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 237, Article ID 113386, 29 p. (2023). Reviewer: Galina Bizhanova (Almaty) MSC: 35R35 35K10 49N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential. (English) Zbl 1526.49002 Discrete Contin. Dyn. Syst., Ser. S 16, No. 9, 2305-2325 (2023). MSC: 49J20 49K20 35K55 35K51 49J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Flaig, Thomas G. Implicit Runge-Kutta schemes for optimal control problems with evolution equations. (English) Zbl 1529.65063 Comput. Methods Appl. Math. 23, No. 4, 917-952 (2023). MSC: 65M60 65L06 65L60 65M15 49M29 49M25 49M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Optimal temperature distribution for a nonisothermal Cahn-Hilliard system in two dimensions with source term and double obstacle potential. (English) Zbl 1538.35404 Ann. Acad. Rom. Sci., Math. Appl. 15, No. 1-2, 175-204 (2023). MSC: 35Q93 35K20 35K55 49J50 49J52 49K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hou, Li-Feng; Sun, Gui-Quan; Perc, Matjaž The impact of heterogeneous human activity on vegetation patterns in arid environments. (English) Zbl 1526.35209 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107461, 17 p. (2023). MSC: 35K57 35K51 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen Thi Ngoc Oanh On the inverse problem for one-dimensional Burgers’ equation from the interior observation. (English) Zbl 1526.35321 J. Elliptic Parabol. Equ. 9, No. 2, 1329-1339 (2023). MSC: 35R30 35K58 49N45 65N21 × Cite Format Result Cite Review PDF Full Text: DOI
Chrysafinos, Konstantinos; Plaka, Dimitra Analysis and approximations of an optimal control problem for the Allen-Cahn equation. (English) Zbl 1541.65092 Numer. Math. 155, No. 1-2, 35-82 (2023). MSC: 65M60 65M15 49J20 49K20 35K55 49M41 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term. (English) Zbl 1522.35309 Appl. Math. Optim. 88, No. 2, Paper No. 68, 31 p. (2023). MSC: 35K55 35K51 35G61 49J20 49K20 49J50 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chorfi, S. E.; El Guermai, G.; Maniar, L.; Zouhair, W. Numerical identification of initial temperatures in heat equation with dynamic boundary conditions. (English) Zbl 1522.35575 Mediterr. J. Math. 20, No. 5, Paper No. 256, 22 p. (2023). MSC: 35R30 35K05 47A05 49N45 65M32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chowdhury, Indranil; Ersland, Olav; Jakobsen, Espen R. On numerical approximations of fractional and nonlocal mean field games. (English) Zbl 1527.35428 Found. Comput. Math. 23, No. 4, 1381-1431 (2023). MSC: 35Q89 35Q84 91A16 47G20 49L12 49L25 45K05 35K61 35F21 65M12 65M22 93B52 93C20 60J65 60G55 26A33 35R11 35R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ainseba, B.; Omrane, A. Low-regret optimal control for an inverse electrocardiological problem with incomplete data. (English) Zbl 1540.35418 Int. J. Control 96, No. 9, 2296-2302 (2023). MSC: 35Q93 35Q92 92C30 92C50 78A70 35M33 35K15 49J20 49N30 90C47 49K20 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Oulmelk, A.; Srati, M.; Afraites, L.; Hadri, A. An artificial neural network approach to identify the parameter in a nonlinear subdiffusion model. (English) Zbl 1522.35562 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107413, 26 p. (2023). MSC: 35R11 35K20 35K58 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Mohammadi, S. A. Maximum load potential of hinged plates with non-homogeneous thickness. (English) Zbl 1518.35597 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107352, 16 p. (2023). MSC: 35Q93 49J20 49M05 74E30 35K91 × Cite Format Result Cite Review PDF Full Text: DOI
Choquet, Catherine; Comte, Eloïse Optimal control of lake eutrophication. (English) Zbl 1521.35173 J. Math. Anal. Appl. 528, No. 2, Article ID 127528, 19 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q92 92D40 86A05 49S05 49K40 49M25 49J20 35K55 35D30 35A01 35A02 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Wodecki, Aleš; Strachota, Pavel; Oberhuber, Tomáš; Škardová, Kateřina; Balázsová, Monika; Bohatý, Michal Numerical optimization of the Dirichlet boundary condition in the phase field model with an application to pure substance solidification. (English) Zbl 1538.49005 Comput. Math. Appl. 145, 90-105 (2023). MSC: 49J20 49K20 35R35 35K55 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xindan; Zhao, Jianping; Hou, Yanren A priori error estimates of Crank-Nicolson finite element method for parabolic optimal control problems. (English) Zbl 1538.49041 Comput. Math. Appl. 144, 274-289 (2023). MSC: 49M25 49J20 65M60 65K10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Surowiec, Thomas M.; Walker, Shawn W. Optimal control of the Landau-de Gennes model of nematic liquid crystals. (English) Zbl 1520.49015 SIAM J. Control Optim. 61, No. 4, 2546-2570 (2023). MSC: 49M25 49K20 35K91 65N30 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sowndarrajan, P. T. Existence and optimal control analysis of acid-mediated tumor invasion model. (English) Zbl 1538.35400 Adv. Differ. Equ. Control Process. 30, No. 1, 53-72 (2023). MSC: 35Q92 35K57 49J20 92D99 35K51 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Germain, Maximilien; Pham, Huyên; Warin, Xavier A level-set approach to the control of state-constrained McKean-Vlasov equations: application to renewable energy storage and portfolio selection. (English) Zbl 1518.49045 Numer. Algebra Control Optim. 13, No. 3-4, 555-582 (2023). MSC: 49N80 49M99 68T07 93E20 49J55 49L25 90C39 65M15 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tagiyev, Rafiq K.; Maharramli, Shahla I. Difference approximation of the inverse problem of determining the highest coefficient in a parabolic equation with integral conditions. (English) Zbl 1518.35689 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 49, No. 1, 38-49 (2023). MSC: 35R30 35A35 35K20 49J20 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Xiuxiang Perturbations of time optimal control problems for parabolic integro-differential equations. (English) Zbl 1518.35433 SIAM J. Control Optim. 61, No. 4, 2069-2087 (2023). MSC: 35K20 35R09 49J20 93C20 93C73 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Haiming; Zhang, Jiachuan; Hao, Yongle A splitting algorithm for constrained optimization problems with parabolic equations. (English) Zbl 1524.90300 Comput. Appl. Math. 42, No. 5, Paper No. 205, 24 p. (2023). MSC: 90C30 90C33 65K10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Casas, Eduardo; Kunisch, Karl Infinite horizon optimal control problems with discount factor on the state, part II: analysis of the control problem. (English) Zbl 1518.35447 SIAM J. Control Optim. 61, No. 3, 1438-1459 (2023). MSC: 35K58 35K20 49J20 49J52 49K20 × Cite Format Result Cite Review PDF Full Text: DOI
Girardin, Léo; Maucourt, Baptiste Agro-ecological control of a pest-host system: preventing spreading. (English) Zbl 1518.35097 SIAM J. Appl. Math. 83, No. 3, 1172-1195 (2023). MSC: 35B40 35K51 35K57 49K20 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qin, Xue; Li, Shumin Local logarithmic stability of an inverse coefficient problem for a singular heat equation with an inverse-square potential. (English) Zbl 1518.35684 Appl. Anal. 102, No. 7, 1995-2017 (2023). MSC: 35R30 35K20 35K67 93B05 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Mengya; Sun, Tongjun Stochastic perturbation method for optimal control problem governed by parabolic PDEs with small uncertainties. (English) Zbl 07699020 Appl. Numer. Math. 185, 483-502 (2023). MSC: 65Nxx 65Cxx 60Hxx × Cite Format Result Cite Review PDF Full Text: DOI
Chorfi, Salah-Eddine; El Guermai, Ghita; Maniar, Lahcen; Zouhair, Walid Impulse null approximate controllability for heat equation with dynamic boundary conditions. (English) Zbl 1517.35253 Math. Control Relat. Fields 13, No. 3, 1023-1046 (2023). MSC: 35R12 35B45 35K20 49N25 93B05 93C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leugering, Günter; Mophou, Gisèle; Moutamal, Maryse; Warma, Mahamadi Optimal control problems of parabolic fractional Sturm-Liouville equations in a star graph. (English) Zbl 1518.35633 Math. Control Relat. Fields 13, No. 2, 771-807 (2023). MSC: 35R11 35K51 35R02 49J45 49J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Caijie; Sun, Tongjun Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions. (English) Zbl 1538.49006 Comput. Math. Appl. 140, 211-224 (2023). MSC: 49J20 49K20 65K10 65M15 49M25 × Cite Format Result Cite Review PDF Full Text: DOI
Causin, Andrea; Solci, Margherita A singular limit of a family of variational evolutions for a brittle elastic bi-layer. (English) Zbl 1512.49003 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 231, Article ID 112949, 16 p. (2023). MSC: 49J20 49S05 74B05 74R10 35K67 × Cite Format Result Cite Review PDF Full Text: DOI
Braz e. Silva, P.; Guillén-González, F.; Perusato, C. F.; Rodríguez-Bellido, M. A. Bilinear optimal control of the Keller-Segel logistic model in \(2D\)-domains. (English) Zbl 1518.35436 Appl. Math. Optim. 87, No. 3, Paper No. 55, 20 p. (2023). MSC: 35K51 35K59 35Q93 49J20 49K20 92C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guan, Chonghu Finite horizon optimal dividend and reinsurance problem driven by a jump-diffusion process with controlled jumps. (English) Zbl 1512.35586 Appl. Math. Optim. 88, No. 1, Paper No. 15, 36 p. (2023). MSC: 35Q91 91B70 91B05 93E20 35R35 35K10 35R09 60G55 35A09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Mazari, Idriss The bang-bang property in some parabolic bilinear optimal control problems via two-scale asymptotic expansions. (English) Zbl 1510.35148 J. Funct. Anal. 284, No. 10, Article ID 109855, 58 p. (2023). MSC: 35K57 35K20 49J30 49K20 49Q10 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xiaowu; Tang, Yuelong Interpolated coefficient characteristic finite element method for semilinear convection-diffusion optimal control problems. (English) Zbl 1509.65100 Results Appl. Math. 17, Article ID 100357, 10 p. (2023). MSC: 65M60 65M25 65M06 65N30 65D05 65H10 49M25 35K55 35J60 35J61 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Jang, Jiwoong Capillary-type boundary value problems of mean curvature flows with force and transport terms on a bounded domain. (English) Zbl 1537.35070 Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 108, 55 p. (2023). MSC: 35B40 35B45 35K20 35K93 49L25 53E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oulmelk, A.; Afraites, L.; Hadri, A. An inverse problem of identifying the coefficient in a nonlinear time-fractional diffusion equation. (English) Zbl 1509.35382 Comput. Appl. Math. 42, No. 1, Paper No. 65, 30 p. (2023). MSC: 35R30 35K20 35R11 65K10 65M06 65M30 65M32 × Cite Format Result Cite Review PDF Full Text: DOI
Djomegne, Landry; Kenne, Cyrille; Dorville, René; Zongo, Pascal Stackelberg-Nash null controllability for a non linear coupled degenerate parabolic equations. (English) Zbl 1507.35100 Appl. Math. Optim. 87, No. 2, Paper No. 18, 41 p. (2023). MSC: 35K51 35K58 35K65 49J20 93B05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calzola, Elisa; Carlini, Elisabetta; Dupuis, Xavier; Silva, Francisco J. A semi-Lagrangian scheme for Hamilton-Jacobi-Bellman equations with oblique derivatives boundary conditions. (English) Zbl 1505.49022 Numer. Math. 153, No. 1, 49-84 (2023). MSC: 49L12 49L25 35F21 65M12 35K55 49L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alpar, Sultan; Rysbaiuly, Bolatbek Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem. (English) Zbl 1511.49023 Appl. Math. Comput. 440, Article ID 127656, 19 p. (2023). MSC: 49N45 35C05 35K20 35R11 35R30 65M32 80A23 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Zhen-Zhen; Sun, Bing Space-time spectral methods for a fourth-order parabolic optimal control problem in three control constraint cases. (English) Zbl 1498.49049 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 359-384 (2023). MSC: 49M25 49M41 65M60 65N35 × Cite Format Result Cite Review PDF Full Text: DOI