Yan, Lin; Wu, Bin Null controllability for a strongly coupled stochastic degenerate reaction-diffusion system. (English) Zbl 07954245 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128911, 25 p. (2025). MSC: 93Bxx 35Kxx 60Hxx × Cite Format Result Cite Review PDF Full Text: DOI
Djomegne, Landry; Kenne, Cyrille Hierarchical exact controllability of a parabolic equation with boundary controls. (English) Zbl 07940993 J. Math. Anal. Appl. 542, No. 2, Article ID 128799, 28 p. (2025). MSC: 35K20 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Pouchol, Camille; Trélat, Emmanuel; Zhang, Christophe Approximate control of parabolic equations with on-off shape controls by Fenchel duality. (English) Zbl 07930631 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 6, 1465-1507 (2024). MSC: 93B05 35K10 49N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardoulis, Laure; Cristofol, Michel An inverse problem for a generalized FitzHugh-Nagumo type system. (English) Zbl 07916268 Appl. Anal. 103, No. 11, 1990-2002 (2024). MSC: 35R30 35K51 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
De Ryck, Tim; Mishra, Siddhartha Numerical analysis of physics-informed neural networks and related models in physics-informed machine learning. (English) Zbl 07906744 Acta Numerica 33, 633-713 (2024). MSC: 68T07 68T05 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fournier, Arnaud; Larrouy, James Boundary null controllability of convection-diffusion equations with constraints on the state and application to the identification of boundary pollution parameters. (English) Zbl 1544.93049 Int. J. Control 97, No. 8, 1746-1761 (2024). MSC: 93B05 93C20 93B07 × Cite Format Result Cite Review PDF Full Text: DOI
Imanuvilov, Oleg; Liu, Hongyu; Yamamoto, Masahiro Lipschitz stability for determination of states and inverse source problem for the mean field game equations. (English) Zbl 07896894 Inverse Probl. Imaging 18, No. 4, 824-859 (2024). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 35Q89 91A16 35R30 35K10 49N80 35N10 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imanuvilov, Oleg; Yamamoto, Masahiro Inverse parabolic problem with initial data by a single measurement. (English) Zbl 1537.35413 Inverse Probl. Imaging 18, No. 3, 657-671 (2024). MSC: 35R30 35K20 35N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imanuvilov, Oleg; Yamamoto, Masahiro Inverse parabolic problems by Carleman estimates with data taken at initial or final time moment of observation. (English) Zbl 1534.35445 Inverse Probl. Imaging 18, No. 2, 366-387 (2024). MSC: 35R30 35K20 35N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Hongyu; Yamamoto, Masahiro Stability in determination of states for the mean field game equations. (English) Zbl 07918194 Commun. Anal. Comput. 1, No. 2, 157-167 (2023). MSC: 58F15 58F17 53C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burman, Erik; Delay, Guillaume; Ern, Alexandre; Oksanen, Lauri A stability estimate for data assimilation subject to the heat equation with initial datum. (Une estimée de stabilité pour l’assimilation de données pour l’équation de la chaleur avec une donnée initiale.) (English. French summary) Zbl 1534.35047 C. R., Math., Acad. Sci. Paris 361, 1521-1530 (2023). MSC: 35B60 35A23 35B30 35K05 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Oner, Isil The null boundary controllability for a fourth-order parabolic equation with Samarskii-Lonkin-type boundary conditions. (English) Zbl 1534.93045 Mediterr. J. Math. 20, No. 6, Paper No. 323, 16 p. (2023). Reviewer: Michela Egidi (Rostock) MSC: 93B05 93C20 35K41 44A60 35P10 34B10 × Cite Format Result Cite Review PDF Full Text: DOI
Burman, Erik; Gillissen, Jurriaan J. J.; Oksanen, Lauri Stability estimate for scalar image velocimetry. (English) Zbl 1539.76138 J. Inverse Ill-Posed Probl. 31, No. 6, 811-822 (2023). Reviewer: Piotr Biler (Wrocław) MSC: 76M21 76D05 76M30 76M20 35Q30 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burman, Erik; Delay, Guillaume; Ern, Alexandre The unique continuation problem for the heat equation discretized with a high-order space-time nonconforming method. (English) Zbl 07764838 SIAM J. Numer. Anal. 61, No. 5, 2534-2557 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 65M30 65J20 35R25 35K05 35Q79 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández-Santamaría, Víctor; Le Balc’h, Kévin; Peralta, Liliana Global null-controllability for stochastic semilinear parabolic equations. (English) Zbl 1526.35215 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 6, 1415-1455 (2023). Reviewer: Kaïs Ammari (Monastir) MSC: 35K58 35K20 35R60 60H15 93B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imanuvilov, O. Y.; Yamamoto, M. Sharp uniqueness and stability of solution for an inverse source problem for the Schrödinger equation. (English) Zbl 1525.35246 Inverse Probl. 39, No. 10, Article ID 105013, 19 p. (2023). MSC: 35R30 35B60 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Chunpeng; Zhou, Yanan Carleman estimate and null controllability for a degenerate parabolic equation with a slightly superlinear reaction term. (English) Zbl 1527.93022 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 69, 32 p. (2023). Reviewer: Nicolae Cîndea (Aubière) MSC: 93B05 93C20 35K65 × Cite Format Result Cite Review PDF Full Text: DOI
Imanuvilov, Oleg; Hongyu, Liu; Yamamoto, Masahiro Unique continuation for a mean field game system. (English) Zbl 1522.35512 Appl. Math. Lett. 145, Article ID 108757, 6 p. (2023). MSC: 35Q89 91A16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imanuvilov, Oleg Y.; Yamamoto, M. Global Lipschitz stability for an inverse source problem for the Navier-Stokes equations. (English) Zbl 1520.35173 Appl. Anal. 102, No. 8, 2200-2210 (2023). MSC: 35R30 35R25 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ismailov, Mansur I.; Oner, Isil Null boundary controllability for some biological and chemical diffusion problems. (English) Zbl 1517.93011 Evol. Equ. Control Theory 12, No. 5, 1287-1299 (2023). MSC: 93B05 35Q92 93C20 92C42 × Cite Format Result Cite Review PDF Full Text: DOI
Araruna, Fágner D.; Fernández-Cara, Enrique; Da Silva, Luciano C. Hierarchical exact controllability of hyperbolic equations and Dunford-Pettis’ theorem. (English) Zbl 1518.35474 Adv. Differ. Equ. 28, No. 5-6, 505-536 (2023). MSC: 35L20 35L71 90C29 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Najib, H.; El Ayadi, R.; Ouakrim, Y.; Ouzahra, M. Exact controllability of a semilinear reaction-diffusion equation governed by a bilinear control. (English) Zbl 1519.93034 Appl. Anal. 102, No. 5, 1414-1438 (2023). MSC: 93B05 35K57 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xinchi; Yamamoto, Masahiro Carleman estimates for a magnetohydrodynamics system and application to inverse source problems. (English) Zbl 1517.35260 Math. Control Relat. Fields 13, No. 2, 470-499 (2023). MSC: 35R30 35B45 35Q35 76W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chorfi, Salah-Eddine; El Guermai, Ghita; Khoutaibi, Abdelaziz; Maniar, Lahcen Boundary null controllability for the heat equation with dynamic boundary conditions. (English) Zbl 1519.93030 Evol. Equ. Control Theory 12, No. 2, 542-566 (2023). Reviewer: Udhayakumar Ramalingam (Vellore) MSC: 93B05 35K05 93B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amri, Abir; Bellassoued, Mourad; Mahjoub, Moncef; zemzemi, Nejib Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling. (English) Zbl 1514.92049 Appl. Anal. 102, No. 2, 494-523 (2023). MSC: 92C55 35Q92 35R30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Ammar, Hamza; Mahjoub, Moncef; Zemzemi, Nejib Global Lipschitz stability of multiple space dependent ionic parameters for the MEA/hiPSC-CM assays. (English) Zbl 1504.35634 Inverse Probl. 39, No. 1, Article ID 015010, 38 p. (2023). MSC: 35R30 35K51 × Cite Format Result Cite Review PDF Full Text: DOI
Khoutaibi, A.; Maniar, L.; Mugnolo, D.; Rhandi, A. Parabolic equations with dynamic boundary conditions and drift terms. (English) Zbl 1523.35203 Math. Nachr. 295, No. 6, 1211-1232 (2022). MSC: 35K20 46E35 47A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tamekue, Cyprien Null controllability of the parabolic spherical Grushin equation. (English) Zbl 1511.93022 ESAIM, Control Optim. Calc. Var. 28, Paper No. 70, 29 p. (2022). Reviewer: Vipin Kumar (Magdeburg) MSC: 93B05 93B07 93C20 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruiz-Balet, Domènec; Zuazua, Enrique Control of reaction-diffusion models in biology and social sciences. (English) Zbl 1504.93180 Math. Control Relat. Fields 12, No. 4, 955-1038 (2022). MSC: 93C20 35K57 35C07 93B05 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Floridia, Giuseppe; Takase, Hiroshi; Yamamoto, Masahiro A Carleman estimate and an energy method for a first-order symmetric hyperbolic system. (English) Zbl 1497.35072 Inverse Probl. Imaging 16, No. 5, 1163-1178 (2022). MSC: 35B45 35L50 93B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imanuvilov, Oleg Y.; Lorenzi, Luca; Yamamoto, Masahiro Carleman estimate for the Navier-Stokes equations and applications. (English) Zbl 1492.35183 Inverse Probl. 38, No. 8, Article ID 085006, 30 p. (2022). MSC: 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fardigola, Larissa; Khalina, Kateryna Controllability problems for the heat equation in a half-plane controlled by the Dirichlet boundary condition with a point-wise control. (English) Zbl 1495.93018 J. Math. Phys. Anal. Geom. 18, No. 1, 75-104 (2022). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 93B05 93C20 35K05 35B30 × Cite Format Result Cite Review PDF Full Text: DOI
Khoutaibi, Abdelaziz; Maniar, Lahcen; Oukdach, Omar Null controllability for semilinear heat equation with dynamic boundary conditions. (English) Zbl 1497.93014 Discrete Contin. Dyn. Syst., Ser. S 15, No. 6, 1525-1546 (2022). Reviewer: Yong-Kui Chang (Xi’an) MSC: 93B05 93B07 93C20 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Lopes, André da Rocha; Límaco, Juan Local null controllability for a parabolic equation with local and nonlocal nonlinearities in moving domains. (English) Zbl 1487.35462 Evol. Equ. Control Theory 11, No. 3, 749-779 (2022). MSC: 35R37 35K20 35K58 35K65 35R09 93B05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Imanuvilov, Oleg Y.; Kian, Yavar; Yamamoto, Masahiro Inverse parabolic problems of determining functions with one spatial-component independence by Carleman estimate. (English) Zbl 1486.35466 J. Inverse Ill-Posed Probl. 30, No. 2, 191-203 (2022). MSC: 35R30 35R25 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nuñez-Chávez, Miguel R. Controllability under positive constraints for quasilinear parabolic PDEs. (English) Zbl 1492.93085 Math. Control Relat. Fields 12, No. 2, 327-341 (2022). Reviewer: Sérgio S. Rodrigues (Linz) MSC: 93C20 35K59 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qin, Xue; Li, Shumin The null controllability for a singular heat equation with variable coefficients. (English) Zbl 1485.35275 Appl. Anal. 101, No. 3, 1052-1076 (2022). MSC: 35K67 35K20 93B05 49J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sakthivel, K.; Arivazhagan, A.; Barani Balan, N. Inverse problem for a Cahn-Hilliard type system modeling tumor growth. (English) Zbl 1485.35426 Appl. Anal. 101, No. 3, 858-890 (2022). MSC: 35R30 35B35 35K51 35K58 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xinchi; Kawamoto, Atsushi Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates. (English) Zbl 1481.35381 Inverse Probl. Imaging 16, No. 1, 39-67 (2022). MSC: 35R11 35R30 35G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Bin; Liu, Jijun On the stability of recovering two sources and initial status in a stochastic hyperbolic-parabolic system. (English) Zbl 1481.35408 Inverse Probl. 38, No. 2, Article ID 025010, 29 p. (2022). MSC: 35R30 35B35 35G46 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Bellassoued, Mourad; Moufid, Chaima Lipschitz stability in determination of coefficients in a two-dimensional Boussinesq system by arbitrary boundary observation. (English) Zbl 1479.35940 Discrete Contin. Dyn. Syst., Ser. S 14, No. 8, 2671-2692 (2021). MSC: 35R30 35Q35 76M21 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Lin Global uniqueness of an inverse problem for stochastic degenerate wave equation with three unknowns. (English) Zbl 1479.35960 Math. Methods Appl. Sci. 44, No. 17, 12545-12558 (2021). MSC: 35R30 35A02 35L20 35R60 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Yamamoto, Masahiro; Kaltenbacher, Barbara An inverse source problem related to acoustic nonlinearity parameter imaging. (English) Zbl 1489.35292 Kaltenbacher, Barbara (ed.) et al., Time-dependent problems in imaging and parameter identification. Cham: Springer. 413-456 (2021). MSC: 35Q92 92C55 74J25 74J30 76Q05 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Soussi, Yosra Stable recovery of a non-compactly supported coefficient of a Schrödinger equation on an infinite waveguide. (English) Zbl 1473.35660 Inverse Probl. Imaging 15, No. 5, 929-950 (2021). MSC: 35R30 35J10 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gavioli, Chiara; Krejčí, Pavel Control and controllability of PDEs with hysteresis. (English) Zbl 1470.35197 Appl. Math. Optim. 84, No. 1, 829-847 (2021); correction ibid. 84, No. 1, 997 (2021). MSC: 35K58 35K20 35Q93 47J40 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xinchi Inverse coefficient problem for a magnetohydrodynamics system by Carleman estimates. (English) Zbl 1460.35389 Appl. Anal. 100, No. 5, 1010-1038 (2021). MSC: 35R30 35Q30 35Q61 35B35 76W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kawamoto, Atsushi; Machida, Manabu Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates. (English) Zbl 1460.35366 Appl. Anal. 100, No. 4, 752-771 (2021). MSC: 35R09 35R11 35R30 35Q49 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Bin; Chen, Qun; Wang, Tingchun; Wang, Zewen Null controllability of a coupled degenerate system with the first and zero order terms by a single control. (English) Zbl 1459.35240 ESAIM, Control Optim. Calc. Var. 26, Paper No. 107, 29 p. (2020). MSC: 35K51 35K65 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Chaves-Silva, Felipe Wallison; Puel, Jean-Pierre; Santos, Maurício Cardoso Boundary null controllability as the limit of internal controllability: the heat case. (English) Zbl 1459.35229 ESAIM, Control Optim. Calc. Var. 26, Paper No. 91, 20 p. (2020). MSC: 35K20 35B25 35L20 93B05 93B07 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, X.; Yu Imanuvilov, Oleg; Yamamoto, M. Stability for inverse source problems by Carleman estimates. (English) Zbl 1459.35393 Inverse Probl. 36, No. 12, Article ID 125006, 20 p. (2020). MSC: 35R30 35K20 35L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tiomela, Romario Gildas Foko; Mophou, Gisèle; N’guérékata, Gaston Hierarchic control of a linear heat equation with missing data. (English) Zbl 1451.49007 Math. Methods Appl. Sci. 43, No. 10, 6476-6497 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 49J20 92D25 93B05 93C41 35K57 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández-Cara, Enrique; Machado, José Lucas F.; Souza, Diego A. Non null controllability of Stokes equations with memory. (English) Zbl 1451.93023 ESAIM, Control Optim. Calc. Var. 26, Paper No. 72, 18 p. (2020). MSC: 93B05 93B07 92C20 35K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Araruna, F. D.; Fernández-Cara, E.; da Silva, L. C. Hierarchical exact controllability of semilinear parabolic equations with distributed and boundary controls. (English) Zbl 1445.35217 Commun. Contemp. Math. 22, No. 7, Article ID 1950034, 41 p. (2020). MSC: 35K58 90C29 93B05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro Inverse problems for a compressible fluid system. (English) Zbl 1437.35706 Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 101-148 (2020). MSC: 35R30 35Q35 76Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Khoutaibi, Abdelaziz; Maniar, Lahcen Null controllability for a heat equation with dynamic boundary conditions and drift terms. (English) Zbl 1445.35197 Evol. Equ. Control Theory 9, No. 2, 535-559 (2020). MSC: 35K20 93B05 37N35 93B07 × Cite Format Result Cite Review PDF Full Text: DOI
Laurent, Camille; Rosier, Lionel Exact controllability of semilinear heat equations in spaces of analytic functions. (English) Zbl 1448.93030 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 4, 1047-1073 (2020). MSC: 93B05 35K20 35K59 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro Single logarithmic conditional stability in determining unknown boundaries. (English) Zbl 1445.35329 Appl. Anal. 99, No. 5, 725-746 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35R30 78A46 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Kassab, K. Null controllability of semi-linear fourth order parabolic equations. (English) Zbl 1439.35216 J. Math. Pures Appl. (9) 136, 279-312 (2020). MSC: 35K35 93B05 93B07 93C20 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Kawamoto, Atsushi; Machida, Manabu Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation. (English) Zbl 1431.35229 SIAM J. Math. Anal. 52, No. 1, 967-1005 (2020). MSC: 35R11 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hernández-Santamaría, Víctor; Peralta, Liliana Some remarks on the robust Stackelberg controllability for the heat equation with controls on the boundary. (English) Zbl 1498.49008 Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 161-190 (2020). MSC: 49J20 93B05 49K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imanuvilov, OLEG Yu; Yamamoto, M. Carleman estimate and an inverse source problem for the Kelvin-Voigt model for viscoelasticity. (English) Zbl 1433.35423 Inverse Probl. 35, No. 12, Article ID 125001, 45 p. (2019). MSC: 35Q92 35Q35 35R30 92C37 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary. (English) Zbl 1429.35211 Inverse Probl. Imaging 13, No. 6, 1213-1258 (2019). MSC: 35R30 58J50 35R01 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Gouba, Elisée; Tao, Sadou Furtive pollution for a discriminating sentinel. (English) Zbl 1427.93089 Adv. Differ. Equ. Control Process. 20, No. 1, 1-16 (2019). MSC: 93C20 35Q92 35K05 35K15 35K20 49J20 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Haak, Bernhard; Hoang, Duc-Trung; Ouhabaz, El-Maati Controllability and observability for non-autonomous evolution equations: the averaged Hautus test. (English) Zbl 1427.93039 Syst. Control Lett. 133, Article ID 104524, 8 p. (2019). MSC: 93B05 93B07 93B28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tao, Sadou; Gouba, Elisée Furtive pollution for parabolic evolution system governed by Cauchy problem. (English) Zbl 1425.35073 Far East J. Math. Sci. (FJMS) 111, No. 1, 117-131 (2019). MSC: 35K05 35K15 35K20 49J20 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández-Cara, Enrique; Límaco, J.; Nina-Huaman, Dany; Núñez-Chávez, Miguel R. Exact controllability to the trajectories for parabolic PDEs with nonlocal nonlinearities. (English) Zbl 1422.93015 Math. Control Signals Syst. 31, No. 3, 415-431 (2019). MSC: 93B05 93B07 93C20 35K55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Abidi, Yassine; Bellassoued, Mourad; Mahjoub, Moncef; Zemzemi, Nejib Ionic parameters identification of an inverse problem of strongly coupled PDE’s system in cardiac electrophysiology using Carleman estimates. (English) Zbl 1458.35416 Math. Model. Nat. Phenom. 14, No. 2, Paper No. 202, 24 p. (2019). MSC: 35Q92 92C35 92C30 34A55 35K57 35R30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Yang, Dong-Hui; Guo, Bao-Zhu; Gui, Weihua; Yang, Chunhua The bang-bang property of time-varying optimal time control for null controllable heat equation. (English) Zbl 1418.35210 J. Optim. Theory Appl. 182, No. 2, 588-605 (2019). MSC: 35K05 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Bin; Gao, Ying; Wang, Zewen; Chen, Qun Unique continuation for a reaction-diffusion system with cross diffusion. (English) Zbl 1416.35057 J. Inverse Ill-Posed Probl. 27, No. 4, 511-525 (2019). MSC: 35B60 35K57 35K51 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Pouchol, Camille; Trélat, Emmanuel; Zuazua, Enrique Phase portrait control for 1D monostable and bistable reaction-diffusion equations. (English) Zbl 1406.35161 Nonlinearity 32, No. 3, 884-909 (2019). MSC: 35K57 70K05 92D25 93B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pighin, Dario; Zuazua, Enrique Controllability under positivity constraints of semilinear heat equations. (English) Zbl 1416.35142 Math. Control Relat. Fields 8, No. 3-4, 935-964 (2018). MSC: 35K58 35K51 93B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ish-Horowicz, Jonathan; Oksanen, Lauri Fully discrete finite element data assimilation method for the heat equation. (English) Zbl 1420.65124 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 2065-2082 (2018). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65N30 65M12 65M15 65M30 65M32 65M06 35R30 80A23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kawamoto, Atsushi Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation. (English) Zbl 1395.35196 Inverse Probl. Imaging 12, No. 2, 315-330 (2018). MSC: 35R11 35R30 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burman, Erik; Oksanen, Lauri Data assimilation for the heat equation using stabilized finite element methods. (English) Zbl 1412.65111 Numer. Math. 139, No. 3, 505-528 (2018). Reviewer: Petr Sváček (Praha) MSC: 65M12 65M15 65M30 65M32 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Bin; Yan, Lin; Gao, Ying; Chen, Qun Carleman estimate for a linearized bidomain model in electrocardiology and its applications. (English) Zbl 1403.35062 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 1, Paper No. 4, 20 p. (2018). MSC: 35B45 35R09 35R30 35Q92 35K51 × Cite Format Result Cite Review PDF Full Text: DOI
Lorenzi, Alfredo; Lorenzi, Luca; Yamamoto, Masahiro Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations. (English) Zbl 1374.35446 J. Inverse Ill-Posed Probl. 25, No. 5, 617-631 (2017). MSC: 35R35 35K20 34G10 45N05 45Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique Minimal controllability time for the heat equation under unilateral state or control constraints. (English) Zbl 1370.35156 Math. Models Methods Appl. Sci. 27, No. 9, 1587-1644 (2017). MSC: 35K05 93B05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Maniar, Lahcen; Meyries, Martin; Schnaubelt, Roland Null controllability for parabolic equations with dynamic boundary conditions. (English) Zbl 1366.93058 Evol. Equ. Control Theory 6, No. 3, 381-407 (2017). MSC: 93B05 35K20 93B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xue, Ruying Observability for fractional diffusion equations by interior control. (English) Zbl 1364.93076 Fract. Calc. Appl. Anal. 20, No. 2, 537-552 (2017). MSC: 93B05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Ouzahra, Mohamed Approximate and exact controllability of a reaction-diffusion equation governed by bilinear control. (English) Zbl 1355.93040 Eur. J. Control 32, 32-38 (2016); corrigendum ibid. 40, 87 (2018). MSC: 93B05 93C20 35K10 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Bellassoued, Mourad; Riahi, Bochra Carleman estimate for Biot consolidation system in poro-elasticity and application to inverse problems. (English) Zbl 1352.35016 Math. Methods Appl. Sci. 39, No. 18, 5281-5301 (2016). MSC: 35G10 35R30 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Límaco, J.; Clark, M.; Marinho, A.; de Menezes, S. B.; Louredo, A. T. Null controllability of some reaction-diffusion systems with only one control force in moving domains. (English) Zbl 1333.93049 Chin. Ann. Math., Ser. B 37, No. 1, 29-52 (2016). MSC: 93B05 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Uesaka, Masaaki; Yamamoto, Masahiro Carleman estimate and unique continuation for a structured population model. (English) Zbl 1334.35435 Appl. Anal. 95, No. 3, 599-614 (2016). MSC: 35R30 92D25 35B60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Philippe; Rosier, Lionel; Rouchon, Pierre Null controllability of one-dimensional parabolic equations by the flatness approach. (English) Zbl 1348.35121 SIAM J. Control Optim. 54, No. 1, 198-220 (2016). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K65 93B05 35C10 35K05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith Global Carleman estimates for degenerate parabolic operators with applications. (English) Zbl 1328.35114 Mem. Am. Math. Soc. 1133, ix, 207 p. (2016). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K65 35R30 93B05 93B07 93C20 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Peng A new global Carleman estimate for Cahn-Hilliard type equation and its applications. (English) Zbl 1334.35080 J. Differ. Equations 260, No. 1, 427-444 (2016). Reviewer: Angkana Rüland (Oxford) MSC: 35K25 35K35 93B05 93B07 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Bao-Zhu; Yang, Dong-Hui; Zhang, Liang On optimal location of diffusion and related optimal control for null controllable heat equation. (English) Zbl 1328.49003 J. Math. Anal. Appl. 433, No. 2, 1333-1349 (2016). MSC: 49J20 49Q10 35L05 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández-Cara, E.; Límaco, J.; de Menezes, S. B. Theoretical and numerical local null controllability of a Ladyzhenskaya-Smagorinsky model of turbulence. (English) Zbl 1330.35482 J. Math. Fluid Mech. 17, No. 4, 669-698 (2015). MSC: 35Q93 35B40 93B05 76F70 × Cite Format Result Cite Review PDF Full Text: DOI
Kröner, Axel; Rodrigues, Sérgio S. Remarks on the internal exponential stabilization to a nonstationary solution for 1D Burgers equations. (English) Zbl 1312.93052 SIAM J. Control Optim. 53, No. 2, 1020-1055 (2015). MSC: 93B52 93C20 93D15 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Guo, Bao-Zhu; Yang, Dong-Hui Optimal actuator location for time and norm optimal control of null controllable heat equation. (English) Zbl 1311.49109 Math. Control Signals Syst. 27, No. 1, 23-48 (2015). MSC: 49Q10 49J20 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández-Cara, Enrique; Münch, Arnaud Numerical exact controllability of the 1D heat equation: duality and Carleman weights. (English) Zbl 1322.93019 J. Optim. Theory Appl. 163, No. 1, 253-285 (2014). Reviewer: K. N. Shukla (Gurgaon) MSC: 93B05 93C20 35K35 65M12 93B40 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Boyer, Franck; Le Rousseau, Jérôme Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations. (English) Zbl 1302.35081 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 5, 1035-1078 (2014). MSC: 35B45 35K10 35K58 65M06 93B05 93B07 35A35 × Cite Format Result Cite Review PDF Full Text: DOI
Beauchard, K. Null controllability of Kolmogorov-type equations. (English) Zbl 1291.93035 Math. Control Signals Syst. 26, No. 1, 145-176 (2014). MSC: 93B05 93C20 35K65 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Chaves-Silva, Felipe W.; Rosier, Lionel; Zuazua, Enrique Null controllability of a system of viscoelasticity with a moving control. (English) Zbl 1295.35052 J. Math. Pures Appl. (9) 101, No. 2, 198-222 (2014). Reviewer: Jong Yeoul Park (Pusan) MSC: 35B30 93B05 74D05 35Q93 35L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clark, H. R.; Fernández-Cara, E.; Limaco, J.; Medeiros, L. A. Theoretical and numerical local null controllability for a parabolic system with local and nonlocal nonlinearities. (English) Zbl 1329.93083 Appl. Math. Comput. 223, 483-505 (2013). MSC: 93C20 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Beauchard, Karine Null controllability of degenerate parabolic equations of Grushin and Kolmogorov type. (English) Zbl 1319.35099 Sémin. Laurent Schwartz, EDP Appl. 2011-2012, Exp. No. XXXIV, 24 p. (2013). MSC: 35K65 93B05 93B07 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI Numdam
Imanuvilov, Oleg Y.; Yamamoto, Masahiro Uniqueness for inverse boundary value problems by Dirichlet-to-Neumann map on subboundaries. (English) Zbl 1291.35443 Milan J. Math. 81, No. 2, 187-258 (2013). MSC: 35R30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choulli, Mourad; Imanuvilov, Oleg Yu.; Puel, Jean-Pierre; Yamamoto, Masahiro Inverse source problem for linearized Navier-Stokes equations with data in arbitrary sub-domain. (English) Zbl 1302.35432 Appl. Anal. 92, No. 10, 2127-2143 (2013). MSC: 35R30 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández-Cara, E.; Limaco, J.; de Menezes, Silvano B. Null controllability for a parabolic-elliptic coupled system. (English) Zbl 1282.35063 Bull. Braz. Math. Soc. (N.S.) 44, No. 2, 285-308 (2013). Reviewer: Jong Yeoul Park (Pusan) MSC: 35B40 93B05 35Q93 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Guerrero, Sergio; Imanuvilov, O. Yu.; Puel, J.-P. A result concerning the global approximate controllability of the Navier-Stokes system in dimension 3. (English) Zbl 1253.35100 J. Math. Pures Appl. (9) 98, No. 6, 689-709 (2012). MSC: 35Q30 35Q93 93B05 × Cite Format Result Cite Review PDF Full Text: DOI