Burq, Nicolas; Dehman, Belhassen; Le Rousseau, Jérôme Semi-classical observation suffices for observability: wave and Schrödinger equations. (English) Zbl 07815227 ESAIM, Control Optim. Calc. Var. 30, Paper No. 10, 31 p. (2024). MSC: 35L20 35L05 35Q41 93B07 PDFBibTeX XMLCite \textit{N. Burq} et al., ESAIM, Control Optim. Calc. Var. 30, Paper No. 10, 31 p. (2024; Zbl 07815227) Full Text: DOI arXiv
Liu, Yuanhang Observability inequality from measurable sets and the shape design problem for stochastic parabolic equations. (English) Zbl 07801987 Appl. Math. Optim. 89, No. 2, Paper No. 37, 34 p. (2024). MSC: 35R60 35K05 49J20 90C47 93B07 93C20 PDFBibTeX XMLCite \textit{Y. Liu}, Appl. Math. Optim. 89, No. 2, Paper No. 37, 34 p. (2024; Zbl 07801987) Full Text: DOI
Li, Yun; Zhao, Hongyong; Cheng, Yao Modeling mosquito control by an impulsive reaction-diffusion mosquito model with periodic evolution domain. (English) Zbl 07793552 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107738, 29 p. (2024). MSC: 92D45 93C27 35K57 35R12 PDFBibTeX XMLCite \textit{Y. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107738, 29 p. (2024; Zbl 07793552) Full Text: DOI
Bhandari, Kuntal Insensitizing control problem for the Hirota-Satsuma system of KdV-KdV type. (English) Zbl 07784788 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113422, 30 p. (2024). MSC: 35Q53 35K52 93B05 93B07 93B35 PDFBibTeX XMLCite \textit{K. Bhandari}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113422, 30 p. (2024; Zbl 07784788) Full Text: DOI arXiv
Vanspranghe, Nicolas; Ferrante, Francesco; Prieur, Christophe Stabilization of the wave equation through nonlinear Dirichlet actuation. (English) Zbl 1523.35060 ESAIM, Control Optim. Calc. Var. 29, Paper No. 57, 23 p. (2023). Reviewer: Kaïs Ammari (Monastir) MSC: 35B40 35L05 35L20 93D15 93D20 PDFBibTeX XMLCite \textit{N. Vanspranghe} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 57, 23 p. (2023; Zbl 1523.35060) Full Text: DOI arXiv
Ruiz-Balet, Domènec; Zuazua, Enrique Neural ODE control for classification, approximation, and transport. (English) Zbl 1521.93080 SIAM Rev. 65, No. 3, 735-773 (2023). MSC: 93C15 34H05 68T07 PDFBibTeX XMLCite \textit{D. Ruiz-Balet} and \textit{E. Zuazua}, SIAM Rev. 65, No. 3, 735--773 (2023; Zbl 1521.93080) 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 PDFBibTeX XMLCite \textit{M. I. Ismailov} and \textit{I. Oner}, Evol. Equ. Control Theory 12, No. 5, 1287--1299 (2023; Zbl 1517.93011) Full Text: DOI
Boutaayamou, Idriss; Fragnelli, Genni; Mugnai, Dimitri Boundary controllability for a degenerate wave equation in nondivergence form with drift. (English) Zbl 1518.35475 SIAM J. Control Optim. 61, No. 4, 1934-1954 (2023). Reviewer: Kaïs Ammari (Monastir) MSC: 35L20 35L80 93B05 93B07 93D15 PDFBibTeX XMLCite \textit{I. Boutaayamou} et al., SIAM J. Control Optim. 61, No. 4, 1934--1954 (2023; Zbl 1518.35475) Full Text: DOI arXiv
Geshkovski, Borjan; Maity, Debayan Control of the Stefan problem in a periodic box. (English) Zbl 1519.93032 Math. Models Methods Appl. Sci. 33, No. 3, 547-608 (2023). MSC: 93B05 35R35 35Q35 93C20 PDFBibTeX XMLCite \textit{B. Geshkovski} and \textit{D. Maity}, Math. Models Methods Appl. Sci. 33, No. 3, 547--608 (2023; Zbl 1519.93032) Full Text: DOI arXiv
Liard, Thibault; Zuazua, Enrique Analysis and numerical solvability of backward-forward conservation laws. (English) Zbl 1517.35137 SIAM J. Math. Anal. 55, No. 3, 1949-1968 (2023). MSC: 35L65 35A35 35F20 35R30 93B30 PDFBibTeX XMLCite \textit{T. Liard} and \textit{E. Zuazua}, SIAM J. Math. Anal. 55, No. 3, 1949--1968 (2023; Zbl 1517.35137) Full Text: DOI
Letrouit, Cyril Catching all geodesics of a manifold with moving balls and application to controllability of the wave equation. (English) Zbl 1521.37034 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 1, 291-309 (2023). MSC: 37D40 37N35 35L05 35Q93 53C22 93C20 PDFBibTeX XMLCite \textit{C. Letrouit}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 1, 291--309 (2023; Zbl 1521.37034) Full Text: DOI arXiv
Jin, Kun-Peng; Wang, Li Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects. (English) Zbl 1509.35046 Adv. Nonlinear Anal. 12, Article ID 20220285, 37 p. (2023). MSC: 35B40 35L71 45K05 74H40 93D15 PDFBibTeX XMLCite \textit{K.-P. Jin} and \textit{L. Wang}, Adv. Nonlinear Anal. 12, Article ID 20220285, 37 p. (2023; Zbl 1509.35046) Full Text: DOI
Le Rousseau, Jérôme; Zongo, Emmanuel Wend-Benedo Stabilization of the damped plate equation under general boundary conditions. (Stabilisation de l’équation des plaques amorties sous des conditions au bord générales.) (English. French summary) Zbl 1501.35067 J. Éc. Polytech., Math. 10, 1-65 (2023). MSC: 35B40 35J30 35J40 35L35 74K20 93D15 PDFBibTeX XMLCite \textit{J. Le Rousseau} and \textit{E. W. B. Zongo}, J. Éc. Polytech., Math. 10, 1--65 (2023; Zbl 1501.35067) Full Text: DOI arXiv
Li, Yazhi; Wang, Yan; Liu, Lili Optimal control of dengue vector based on a reaction-diffusion model. (English) Zbl 07594635 Math. Comput. Simul. 203, 250-270 (2023). MSC: 92-XX 93-XX PDFBibTeX XMLCite \textit{Y. Li} et al., Math. Comput. Simul. 203, 250--270 (2023; Zbl 07594635) Full Text: DOI
Macià, Fabricio Geometric control of eigenfunctions of Schrödinger operators. (English) Zbl 1522.35048 Ammari, Kaïs (ed.), Research in PDEs and related fields, The 2019 spring school, Sidi Bel Abbès, Algeria, April 8–10, 2019. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 151-168 (2022). MSC: 35B30 35J10 93B05 93B07 PDFBibTeX XMLCite \textit{F. Macià}, in: Research in PDEs and related fields, The 2019 spring school, Sidi Bel Abbès, Algeria, April 8--10, 2019. Cham: Birkhäuser. 151--168 (2022; Zbl 1522.35048) Full Text: DOI
Molina, Emilio; Rapaport, Alain An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint. (English) Zbl 1504.92147 Automatica 146, Article ID 110596, 8 p. (2022). MSC: 92D30 93B52 49J15 PDFBibTeX XMLCite \textit{E. Molina} and \textit{A. Rapaport}, Automatica 146, Article ID 110596, 8 p. (2022; Zbl 1504.92147) 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 PDFBibTeX XMLCite \textit{D. Ruiz-Balet} and \textit{E. Zuazua}, Math. Control Relat. Fields 12, No. 4, 955--1038 (2022; Zbl 1504.93180) Full Text: DOI
Ervedoza, Sylvain; Lissy, Pierre; Privat, Yannick Desensitizing control for the heat equation with respect to domain variations. (Contrôle désensibilisant pour l’équation de la chaleur par rapport à des variations du domaine.) (English. French summary) Zbl 1517.35232 J. Éc. Polytech., Math. 9, 1397-1429 (2022). MSC: 35Q93 35Q79 35K05 35K20 35D30 47H10 49K20 49Q10 93B05 93C20 PDFBibTeX XMLCite \textit{S. Ervedoza} et al., J. Éc. Polytech., Math. 9, 1397--1429 (2022; Zbl 1517.35232) Full Text: DOI
Golse, François; Paul, Thierry Quantitative observability for the Schrödinger and Heisenberg equations: an optimal transport approach. (English) Zbl 1490.35370 Math. Models Methods Appl. Sci. 32, No. 5, 941-963 (2022). MSC: 35Q41 93C20 49Q22 PDFBibTeX XMLCite \textit{F. Golse} and \textit{T. Paul}, Math. Models Methods Appl. Sci. 32, No. 5, 941--963 (2022; Zbl 1490.35370) Full Text: DOI
Dus, Mathias Exponential stability of a general slope limiter scheme for scalar conservation laws subject to a dissipative boundary condition. (English) Zbl 1495.93072 Math. Control Signals Syst. 34, No. 1, 37-65 (2022). Reviewer: Nataliya O. Sedova (Ulyanovsk) MSC: 93D23 93A10 PDFBibTeX XMLCite \textit{M. Dus}, Math. Control Signals Syst. 34, No. 1, 37--65 (2022; Zbl 1495.93072) Full Text: DOI HAL
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel Geometric and probabilistic results for the observability of the wave equation. (Résultats géométriques et probabilistes pour l’observabilité de l’équation des ondes.) (English. French summary) Zbl 1485.93086 J. Éc. Polytech., Math. 9, 431-461 (2022). MSC: 93B07 93C20 35L05 53C22 60B10 PDFBibTeX XMLCite \textit{E. Humbert} et al., J. Éc. Polytech., Math. 9, 431--461 (2022; Zbl 1485.93086) Full Text: DOI
Pozzoli, Eugenio Classical and quantum controllability of a rotating asymmetric molecule. (English) Zbl 1485.93077 Appl. Math. Optim. 85, No. 1, 1-27 (2022). MSC: 93B05 81Q93 81V55 93C20 35J10 PDFBibTeX XMLCite \textit{E. Pozzoli}, Appl. Math. Optim. 85, No. 1, 1--27 (2022; Zbl 1485.93077) Full Text: DOI arXiv
Cheng, Sheng; Paley, Derek A. Optimal guidance and estimation of a 2D diffusion-advection process by a team of mobile sensors. (English) Zbl 1482.93296 Automatica 137, Article ID 110112, 13 p. (2022). MSC: 93C35 93A16 49N90 PDFBibTeX XMLCite \textit{S. Cheng} and \textit{D. A. Paley}, Automatica 137, Article ID 110112, 13 p. (2022; Zbl 1482.93296) Full Text: DOI arXiv
Cavalcanti, Marcelo M.; Mansouri, Sabeur; Gonzalez Martinez, V. H. Uniform stabilization for the coupled semi-linear wave and beam equations with distributed nonlinear feedback. (English) Zbl 1480.35031 J. Math. Anal. Appl. 508, No. 1, Article ID 125858, 44 p. (2022). MSC: 35B40 35L57 35L76 35B07 93D15 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., J. Math. Anal. Appl. 508, No. 1, Article ID 125858, 44 p. (2022; Zbl 1480.35031) Full Text: DOI
Bárcena-Petisco, Jon Asier; Zuazua, Enrique Averaged dynamics and control for heat equations with random diffusion. (English) Zbl 1480.93191 Syst. Control Lett. 158, Article ID 105055, 15 p. (2021). MSC: 93C20 93E03 35K05 35R60 93B05 93B07 PDFBibTeX XMLCite \textit{J. A. Bárcena-Petisco} and \textit{E. Zuazua}, Syst. Control Lett. 158, Article ID 105055, 15 p. (2021; Zbl 1480.93191) Full Text: DOI
Macià, Fabricio Observability results related to fractional Schrödinger operators. (English) Zbl 1470.58009 Vietnam J. Math. 49, No. 3, 919-936 (2021). MSC: 58C40 35J10 35Q41 93B07 93B60 PDFBibTeX XMLCite \textit{F. Macià}, Vietnam J. Math. 49, No. 3, 919--936 (2021; Zbl 1470.58009) Full Text: DOI arXiv
Liu, Wei-Wei; Wang, Jun-Min; Guo, Wei A backstepping approach to adaptive error feedback regulator design for one-dimensional linear parabolic PIDEs. (English) Zbl 1469.93062 J. Math. Anal. Appl. 503, No. 2, Article ID 125310, 21 p. (2021). MSC: 93C40 93B52 93C20 45K05 PDFBibTeX XMLCite \textit{W.-W. Liu} et al., J. Math. Anal. Appl. 503, No. 2, Article ID 125310, 21 p. (2021; Zbl 1469.93062) Full Text: DOI
Bottois, Arthur; Cîndea, Nicolae; Münch, Arnaud Optimization of non-cylindrical domains for the exact null controllability of the 1D wave equation. (English) Zbl 1467.49031 ESAIM, Control Optim. Calc. Var. 27, Paper No. 13, 32 p. (2021). MSC: 49Q10 93C20 49M41 PDFBibTeX XMLCite \textit{A. Bottois} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 13, 32 p. (2021; Zbl 1467.49031) Full Text: DOI
Zhou, Xiuxiang Approximate and null controllability for the multidimensional Coleman-Gurtin model. (English) Zbl 1467.93145 Math. Control Signals Syst. 33, No. 2, 279-295 (2021). Reviewer: Kaïs Ammari (Monastir) MSC: 93C05 45J05 PDFBibTeX XMLCite \textit{X. Zhou}, Math. Control Signals Syst. 33, No. 2, 279--295 (2021; Zbl 1467.93145) Full Text: DOI
Bliman, Pierre-Alexandre A feedback control perspective on biological control of dengue vectors by Wolbachia infection. (English) Zbl 1466.92173 Eur. J. Control 59, 188-206 (2021). MSC: 92D30 93B52 PDFBibTeX XMLCite \textit{P.-A. Bliman}, Eur. J. Control 59, 188--206 (2021; Zbl 1466.92173) Full Text: DOI
Kao, Chiu-Yen; Mohammadi, Seyyed Abbas Extremal rearrangement problems involving Poisson’s equation with Robin boundary conditions. (English) Zbl 1462.35422 J. Sci. Comput. 86, No. 3, Paper No. 40, 29 p. (2021). MSC: 35Q93 93C20 49J20 49Q10 35J20 35B40 74H15 74E30 PDFBibTeX XMLCite \textit{C.-Y. Kao} and \textit{S. A. Mohammadi}, J. Sci. Comput. 86, No. 3, Paper No. 40, 29 p. (2021; Zbl 1462.35422) Full Text: DOI
Boscain, Ugo; Pozzoli, Eugenio; Sigalotti, Mario Classical and quantum controllability of a rotating symmetric molecule. (English) Zbl 1471.81040 SIAM J. Control Optim. 59, No. 1, 156-184 (2021). MSC: 81Q93 93B05 81Q05 81V55 70E05 PDFBibTeX XMLCite \textit{U. Boscain} et al., SIAM J. Control Optim. 59, No. 1, 156--184 (2021; Zbl 1471.81040) Full Text: DOI arXiv
Huang, Shanlin; Wang, Gengsheng; Wang, Ming Characterizations of stabilizable sets for some parabolic equations in \(\mathbb{R}^n\). (English) Zbl 1452.93033 J. Differ. Equations 272, 255-288 (2021). MSC: 93D20 93C20 93B05 PDFBibTeX XMLCite \textit{S. Huang} et al., J. Differ. Equations 272, 255--288 (2021; Zbl 1452.93033) Full Text: DOI arXiv
Alberti, Giovanni S.; Capdeboscq, Yves; Privat, Yannick On the randomised stability constant for inverse problems. (English) Zbl 1487.35434 Math. Eng. (Springfield) 2, No. 2, 264-286 (2020). MSC: 35R30 35L20 93B07 PDFBibTeX XMLCite \textit{G. S. Alberti} et al., Math. Eng. (Springfield) 2, No. 2, 264--286 (2020; Zbl 1487.35434) Full Text: DOI arXiv
Burq, Nicolas; Gérard, Patrick Stabilization of wave equations on the torus with rough dampings. (English. French summary) Zbl 1462.35070 Pure Appl. Anal. 2, No. 3, 627-658 (2020). MSC: 35B40 35L20 35Q93 35S05 58J40 93D15 PDFBibTeX XMLCite \textit{N. Burq} and \textit{P. Gérard}, Pure Appl. Anal. 2, No. 3, 627--658 (2020; Zbl 1462.35070) Full Text: DOI arXiv
Rodrigues, Sérgio S. Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems. (English) Zbl 1455.93169 Evol. Equ. Control Theory 9, No. 3, 635-672 (2020). MSC: 93D23 93C10 93B52 PDFBibTeX XMLCite \textit{S. S. Rodrigues}, Evol. Equ. Control Theory 9, No. 3, 635--672 (2020; Zbl 1455.93169) Full Text: DOI arXiv
Hao, Jianghao; Rao, Bopeng Influence of the hidden regularity on the stability of partially damped systems of wave equations. (English. French summary) Zbl 1451.93292 J. Math. Pures Appl. (9) 143, 257-286 (2020). MSC: 93D15 93C20 35L05 PDFBibTeX XMLCite \textit{J. Hao} and \textit{B. Rao}, J. Math. Pures Appl. (9) 143, 257--286 (2020; Zbl 1451.93292) Full Text: DOI
Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique Shape turnpike for linear parabolic PDE models. (English) Zbl 1451.93170 Syst. Control Lett. 142, Article ID 104733, 8 p. (2020). MSC: 93C20 93C05 49J20 PDFBibTeX XMLCite \textit{G. Lance} et al., Syst. Control Lett. 142, Article ID 104733, 8 p. (2020; Zbl 1451.93170) Full Text: DOI arXiv
Chaves-Silva, Felipe W.; Souza, Diego A.; Zhang, Can Observability inequalities on measurable sets for the Stokes system and applications. (English) Zbl 1446.49029 SIAM J. Control Optim. 58, No. 4, 2188-2205 (2020). MSC: 49Q10 76D55 93B07 49R05 28A05 28A75 PDFBibTeX XMLCite \textit{F. W. Chaves-Silva} et al., SIAM J. Control Optim. 58, No. 4, 2188--2205 (2020; Zbl 1446.49029) Full Text: DOI arXiv
Azmi, Behzad; Rodrigues, Sérgio S. Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations. (English) Zbl 1443.93102 J. Differ. Equations 269, No. 7, 6163-6192 (2020). Reviewer: Kaïs Ammari (Monastir) MSC: 93D15 93D23 93C20 35L05 35L71 PDFBibTeX XMLCite \textit{B. Azmi} and \textit{S. S. Rodrigues}, J. Differ. Equations 269, No. 7, 6163--6192 (2020; Zbl 1443.93102) Full Text: DOI
Boyer, Franck; Hernández-Santamaría, Víctor Carleman estimates for time-discrete parabolic equations and applications to controllability. (English) Zbl 1442.93006 ESAIM, Control Optim. Calc. Var. 26, Paper No. 12, 43 p. (2020). MSC: 93B05 35K20 65M06 93B07 93C55 PDFBibTeX XMLCite \textit{F. Boyer} and \textit{V. Hernández-Santamaría}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 12, 43 p. (2020; Zbl 1442.93006) Full Text: DOI HAL
Cannarsa, P.; Martinez, P.; Vancostenoble, J. The cost of controlling strongly degenerate parabolic equations. (English) Zbl 1442.93016 ESAIM, Control Optim. Calc. Var. 26, Paper No. 2, 50 p. (2020). MSC: 93C20 33C10 35K65 35P10 93B05 93B60 PDFBibTeX XMLCite \textit{P. Cannarsa} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 2, 50 p. (2020; Zbl 1442.93016) Full Text: DOI arXiv
Le Rousseau, Jérôme; Robbiano, Luc Spectral inequality and resolvent estimate for the bi-Laplace operator. (English) Zbl 1439.35351 J. Eur. Math. Soc. (JEMS) 22, No. 4, 1003-1094 (2020). Reviewer: Kaïs Ammari (Monastir) MSC: 35P15 58J50 35B45 35J30 35L35 35S15 93B05 93D15 PDFBibTeX XMLCite \textit{J. Le Rousseau} and \textit{L. Robbiano}, J. Eur. Math. Soc. (JEMS) 22, No. 4, 1003--1094 (2020; Zbl 1439.35351) Full Text: DOI arXiv
Trélat, Emmanuel; Wang, Gengsheng; Xu, Yashan Characterization by observability inequalities of controllability and stabilization properties. (English) Zbl 1431.93011 Pure Appl. Anal. 2, No. 1, 93-122 (2020). MSC: 93B05 93B07 93D23 93C25 PDFBibTeX XMLCite \textit{E. Trélat} et al., Pure Appl. Anal. 2, No. 1, 93--122 (2020; Zbl 1431.93011) Full Text: DOI arXiv
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Mansouri, S.; Gonzalez Martinez, V. H.; Hajjej, Z.; Astudillo Rojas, M. R. Asymptotic stability for a strongly coupled Klein-Gordon system in an inhomogeneous medium with locally distributed damping. (English) Zbl 1429.35156 J. Differ. Equations 268, No. 2, 447-489 (2020). Reviewer: Denis Borisov (Ufa) MSC: 35L53 35B40 93B07 35L71 35B35 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., J. Differ. Equations 268, No. 2, 447--489 (2020; Zbl 1429.35156) Full Text: DOI
Kunisch, Karl; Rodrigues, Sérgio S. Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators. (English) Zbl 1436.93106 ESAIM, Control Optim. Calc. Var. 25, Paper No. 67, 38 p. (2019). Reviewer: Kaïs Ammari (Monastir) MSC: 93D15 93D23 93C05 93C20 PDFBibTeX XMLCite \textit{K. Kunisch} and \textit{S. S. Rodrigues}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 67, 38 p. (2019; Zbl 1436.93106) Full Text: DOI
Lissy, Pierre; Privat, Yannick; Simporé, Yacouba Insensitizing control for linear and semi-linear heat equations with partially unknown domain. (English) Zbl 1442.93009 ESAIM, Control Optim. Calc. Var. 25, Paper No. 50, 21 p. (2019). MSC: 93B05 35K20 35K91 49K20 93C20 PDFBibTeX XMLCite \textit{P. Lissy} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 50, 21 p. (2019; Zbl 1442.93009) Full Text: DOI HAL
Touboul, Jonathan Erratum on: “Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain”. (English) Zbl 1428.35646 Math. Control Relat. Fields 9, No. 1, 221-222 (2019). MSC: 35Q93 35A35 35K05 93B03 65M06 PDFBibTeX XMLCite \textit{J. Touboul}, Math. Control Relat. Fields 9, No. 1, 221--222 (2019; Zbl 1428.35646) Full Text: DOI
Martinez, Patrick; Vancostenoble, Judith The cost of boundary controllability for a parabolic equation with inverse square potential. (English) Zbl 1425.93045 Evol. Equ. Control Theory 8, No. 2, 397-422 (2019). MSC: 93B05 93C20 35K05 PDFBibTeX XMLCite \textit{P. Martinez} and \textit{J. Vancostenoble}, Evol. Equ. Control Theory 8, No. 2, 397--422 (2019; Zbl 1425.93045) Full Text: DOI
Piccoli, Benedetto; Duteil, Nastassia Pouradier; Trélat, Emmanuel Sparse control of Hegselmann-Krause models: black hole and declustering. (English) Zbl 1422.91620 SIAM J. Control Optim. 57, No. 4, 2628-2659 (2019). MSC: 91D30 93C15 93C20 93D99 PDFBibTeX XMLCite \textit{B. Piccoli} et al., SIAM J. Control Optim. 57, No. 4, 2628--2659 (2019; Zbl 1422.91620) Full Text: DOI arXiv Link
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel Observability properties of the homogeneous wave equation on a closed manifold. (English) Zbl 1429.35144 Commun. Partial Differ. Equations 44, No. 9, 749-772 (2019). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L15 35L05 93C20 93B07 93B27 35R01 PDFBibTeX XMLCite \textit{E. Humbert} et al., Commun. Partial Differ. Equations 44, No. 9, 749--772 (2019; Zbl 1429.35144) Full Text: DOI arXiv
Fardigola, L. V. Transformation operators in the problems of controllability for the degenerate wave equation with variable coefficients. (English. Ukrainian original) Zbl 1454.93110 Ukr. Math. J. 70, No. 8, 1300-1318 (2019); translation from Ukr. Mat. Zh. 70, No. 8, 1128-1142 (2018). MSC: 93C20 93B05 35L10 PDFBibTeX XMLCite \textit{L. V. Fardigola}, Ukr. Math. J. 70, No. 8, 1300--1318 (2019; Zbl 1454.93110); translation from Ukr. Mat. Zh. 70, No. 8, 1128--1142 (2018) Full Text: DOI
Dubey, Shruti; Dwivedi, Sharad On controllability of a two-dimensional network of ferromagnetic ellipsoidal samples. (English) Zbl 1414.93035 Differ. Equ. Dyn. Syst. 27, No. 1-3, 277-297 (2019). MSC: 93B05 93D20 93C15 93C10 82D40 35Q60 PDFBibTeX XMLCite \textit{S. Dubey} and \textit{S. Dwivedi}, Differ. Equ. Dyn. Syst. 27, No. 1--3, 277--297 (2019; Zbl 1414.93035) Full Text: DOI
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. (English) Zbl 1410.35090 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 64, 45 p. (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35P20 93B07 58J51 49K20 PDFBibTeX XMLCite \textit{Y. Privat} et al., Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 64, 45 p. (2019; Zbl 1410.35090) Full Text: DOI arXiv
Yang, Donghui; Zhong, Jie Optimal actuator location of the minimum norm controls for stochastic heat equations. (English) Zbl 1417.35052 Math. Control Relat. Fields 8, No. 3-4, 1081-1095 (2018). MSC: 35K05 49J20 93B05 93B07 93E20 PDFBibTeX XMLCite \textit{D. Yang} and \textit{J. Zhong}, Math. Control Relat. Fields 8, No. 3--4, 1081--1095 (2018; Zbl 1417.35052) Full Text: DOI arXiv
Kalise, Dante; Kunisch, Karl; Sturm, Kevin Optimal actuator design based on shape calculus. (English) Zbl 1411.49030 Math. Models Methods Appl. Sci. 28, No. 13, 2667-2717 (2018). MSC: 49Q10 49M05 93B40 65D99 93C20 49N35 PDFBibTeX XMLCite \textit{D. Kalise} et al., Math. Models Methods Appl. Sci. 28, No. 13, 2667--2717 (2018; Zbl 1411.49030) Full Text: DOI arXiv
Morris, Kirsten The role of sensor and actuator models in control of distributed parameter systems. (English) Zbl 1407.93154 Tempo, Roberto (ed.) et al., Emerging applications of control and systems theory. A festschrift in honor of Mathukumalli Vidyasagar. Based on invited lectures given at the workshop, EACST’17, University of Texas, Dallas, TX, USA, September 2017. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 245-257 (2018). MSC: 93C20 93B05 93B07 49N10 PDFBibTeX XMLCite \textit{K. Morris}, in: Emerging applications of control and systems theory. A festschrift in honor of Mathukumalli Vidyasagar. Based on invited lectures given at the workshop, EACST'17, University of Texas, Dallas, TX, USA, September 2017. Cham: Springer. 245--257 (2018; Zbl 1407.93154) Full Text: DOI
Waters, Alden; Merkurjev, Ekaterina Asymptotics for optimal design problems for the Schrödinger equation with a potential. (English) Zbl 1460.93020 J. Optim. 2018, Article ID 8162845, 16 p. (2018). MSC: 93B07 93B60 93C20 35Q41 PDFBibTeX XMLCite \textit{A. Waters} and \textit{E. Merkurjev}, J. Optim. 2018, Article ID 8162845, 16 p. (2018; Zbl 1460.93020) Full Text: DOI arXiv
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Fukuoka, Ryuichi; Pampu, Ademir B.; Astudillo, María Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping. (English) Zbl 1397.35025 Nonlinearity 31, No. 9, 4031-4064 (2018). MSC: 35B40 74J30 93D15 35R01 35L71 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Nonlinearity 31, No. 9, 4031--4064 (2018; Zbl 1397.35025) Full Text: DOI
Alabau-Boussouira, Fatiha; Ali-Ziane, Tarik; Arab, Fatima; Zaïr, Ouahiba Boundary stabilisation of the wave equation in the presence of singularities. (English) Zbl 1390.93630 Int. J. Control 91, No. 2, 383-399 (2018). MSC: 93D15 35L05 35Q53 93C20 93C10 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} et al., Int. J. Control 91, No. 2, 383--399 (2018; Zbl 1390.93630) Full Text: DOI
Coron, Jean-Michel; Gagnon, Ludovick; Morancey, Morgan Rapid stabilization of a linearized bilinear 1-D Schrödinger equation. (English. French summary) Zbl 1392.35281 J. Math. Pures Appl. (9) 115, 24-73 (2018). MSC: 35Q55 93D15 93B52 93B05 PDFBibTeX XMLCite \textit{J.-M. Coron} et al., J. Math. Pures Appl. (9) 115, 24--73 (2018; Zbl 1392.35281) Full Text: DOI arXiv
Apte, Amit; Auroux, Didier; Ramaswamy, Mythily Observers for compressible Navier-Stokes equation. (English) Zbl 1383.93017 SIAM J. Control Optim. 56, No. 2, 1081-1104 (2018). MSC: 93B07 93C20 93C95 93B40 35Q30 76D05 PDFBibTeX XMLCite \textit{A. Apte} et al., SIAM J. Control Optim. 56, No. 2, 1081--1104 (2018; Zbl 1383.93017) Full Text: DOI
Liard, Thibault; Lissy, Pierre; Privat, Yannick Non-localization of eigenfunctions for Sturm-Liouville operators and applications. (English) Zbl 1382.49017 J. Differ. Equations 264, No. 4, 2449-2494 (2018). Reviewer: Vladimir Jacimovic (Podgorica) MSC: 49K15 47A75 49J20 93B07 93B05 34B24 PDFBibTeX XMLCite \textit{T. Liard} et al., J. Differ. Equations 264, No. 4, 2449--2494 (2018; Zbl 1382.49017) Full Text: DOI
Akhouayri, Hassan; Bergounioux, Maïtine; Da Silva, Anabela; Elbau, Peter; Litman, Amelie; Mindrinos, Leonidas Quantitative thermoacoustic tomography with microwaves sources. (English) Zbl 1386.35279 J. Inverse Ill-Posed Probl. 25, No. 6, 703-717 (2017). MSC: 35M33 35Q61 49N45 80A23 93C20 PDFBibTeX XMLCite \textit{H. Akhouayri} et al., J. Inverse Ill-Posed Probl. 25, No. 6, 703--717 (2017; Zbl 1386.35279) Full Text: DOI HAL
Beauchard, Karine; Laurent, Camille Local exact controllability of the \(2D\)-Schrödinger-Poisson system. (English. French summary) Zbl 1375.35419 J. Éc. Polytech., Math. 4, 287-336 (2017). MSC: 35Q40 35Q41 93C10 93C20 PDFBibTeX XMLCite \textit{K. Beauchard} and \textit{C. Laurent}, J. Éc. Polytech., Math. 4, 287--336 (2017; Zbl 1375.35419) Full Text: DOI
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Actuator design for parabolic distributed parameter systems with the moment method. (English) Zbl 1361.49020 SIAM J. Control Optim. 55, No. 2, 1128-1152 (2017). MSC: 49Q10 93B07 35L05 49K20 42B37 PDFBibTeX XMLCite \textit{Y. Privat} et al., SIAM J. Control Optim. 55, No. 2, 1128--1152 (2017; Zbl 1361.49020) Full Text: DOI arXiv
Gimperlein, Heiko; Waters, Alden A deterministic optimal design problem for the heat equation. (English) Zbl 1353.35315 SIAM J. Control Optim. 55, No. 1, 51-69 (2017). MSC: 35R30 58J35 93B07 PDFBibTeX XMLCite \textit{H. Gimperlein} and \textit{A. Waters}, SIAM J. Control Optim. 55, No. 1, 51--69 (2017; Zbl 1353.35315) Full Text: DOI arXiv
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Randomised observation, control and stabilization of waves. (English) Zbl 07775045 ZAMM, Z. Angew. Math. Mech. 96, No. 5, 538-549 (2016). MSC: 93B07 49K20 93C20 35L05 PDFBibTeX XMLCite \textit{Y. Privat} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 5, 538--549 (2016; Zbl 07775045) Full Text: DOI
Porretta, Alessio; Zuazua, Enrique Remarks on long time versus steady state optimal control. (English) Zbl 1369.49008 Ancona, Fabio (ed.) et al., Mathematical paradigms of climate science. Based on the workshop, Rome, Italy, summer 2013. Cham: Springer (ISBN 978-3-319-39091-8/hbk; 978-3-319-39092-5/ebook). Springer INdAM Series 15, 67-89 (2016). MSC: 49J20 49K20 93B05 93B07 93C20 PDFBibTeX XMLCite \textit{A. Porretta} and \textit{E. Zuazua}, Springer INdAM Ser. 15, 67--89 (2016; Zbl 1369.49008) Full Text: DOI
Haraux, Alain; Liard, Thibault; Privat, Yannick How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. (English) Zbl 1377.35185 J. Evol. Equ. 16, No. 4, 825-856 (2016). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L05 93B07 35Q93 35B35 PDFBibTeX XMLCite \textit{A. Haraux} et al., J. Evol. Equ. 16, No. 4, 825--856 (2016; Zbl 1377.35185) Full Text: DOI HAL
Anantharaman, Nalini; Léautaud, Matthieu; Macià, Fabricio Wigner measures and observability for the Schrödinger equation on the disk. (English) Zbl 1354.35125 Invent. Math. 206, No. 2, 485-599 (2016). Reviewer: Mihai Pascu (Bucureşti) MSC: 35Q41 93B07 35Q40 81S30 PDFBibTeX XMLCite \textit{N. Anantharaman} et al., Invent. Math. 206, No. 2, 485--599 (2016; Zbl 1354.35125) Full Text: DOI arXiv
Laurent, Camille; Léautaud, Matthieu Uniform observability estimates for linear waves. (English) Zbl 1368.35163 ESAIM, Control Optim. Calc. Var. 22, No. 4, 1097-1136 (2016). MSC: 35L15 35L05 35B45 93B07 93B05 PDFBibTeX XMLCite \textit{C. Laurent} and \textit{M. Léautaud}, ESAIM, Control Optim. Calc. Var. 22, No. 4, 1097--1136 (2016; Zbl 1368.35163) Full Text: DOI arXiv
Velasco, D. Assaely León; Glowinski, Roland; Valencia, L. Héctor Juárez On the controllability of diffusion processes on a sphere: a numerical study. (English) Zbl 1353.49042 ESAIM, Control Optim. Calc. Var. 22, No. 4, 1054-1077 (2016). MSC: 49M25 93B05 49K20 65K10 65M60 93C20 58E25 PDFBibTeX XMLCite \textit{D. A. L. Velasco} et al., ESAIM, Control Optim. Calc. Var. 22, No. 4, 1054--1077 (2016; Zbl 1353.49042) Full Text: DOI
Trélat, Emmanuel; Wang, Lijuan; Zhang, Yubiao Impulse and sampled-data optimal control of heat equations, and error estimates. (English) Zbl 1370.35158 SIAM J. Control Optim. 54, No. 5, 2787-2819 (2016). MSC: 35K05 49J20 34A37 93C57 PDFBibTeX XMLCite \textit{E. Trélat} et al., SIAM J. Control Optim. 54, No. 5, 2787--2819 (2016; Zbl 1370.35158) Full Text: DOI arXiv
Guo, Bao-Zhu; Xu, Yashan; Yang, Dong-Hui Optimal actuator location of minimum norm controls for heat equation with general controlled domain. (English) Zbl 1386.93152 J. Differ. Equations 261, No. 6, 3588-3614 (2016). MSC: 93C20 35K20 49J20 35K05 91A10 PDFBibTeX XMLCite \textit{B.-Z. Guo} et al., J. Differ. Equations 261, No. 6, 3588--3614 (2016; Zbl 1386.93152) Full Text: DOI arXiv
Yang, Donghui; Zhong, Jie Observability inequality of backward stochastic heat equations for measurable sets and its applications. (English) Zbl 1381.93105 SIAM J. Control Optim. 54, No. 3, 1157-1175 (2016). MSC: 93E20 35R60 49K45 60H15 93B05 91A80 PDFBibTeX XMLCite \textit{D. Yang} and \textit{J. Zhong}, SIAM J. Control Optim. 54, No. 3, 1157--1175 (2016; Zbl 1381.93105) Full Text: DOI arXiv
Alla, Alessandro; Falcone, Maurizio; Kalise, Dante A HJB-POD feedback synthesis approach for the wave equation. (English) Zbl 1338.49063 Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 51-64 (2016). MSC: 49M27 49L20 49N35 49J20 90C39 93B52 35L05 65K10 78M34 PDFBibTeX XMLCite \textit{A. Alla} et al., Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 51--64 (2016; Zbl 1338.49063) Full Text: DOI
Chow, Amenda; Morris, Kirsten A. Control of the Landau-Lifshitz equation. (English) Zbl 1335.93108 Automatica 67, 200-204 (2016). MSC: 93D20 35Q60 93C20 PDFBibTeX XMLCite \textit{A. Chow} and \textit{K. A. Morris}, Automatica 67, 200--204 (2016; Zbl 1335.93108) Full Text: DOI arXiv
Trélat, Emmanuel; Privat, Yannick Optimal design of sensors for a damped wave equation. (English) Zbl 1381.93027 Discrete Contin. Dyn. Syst. 2015, Suppl., 936-944 (2015). MSC: 93B07 35L20 35P20 49K45 93B51 93C20 58J51 49K20 PDFBibTeX XMLCite \textit{E. Trélat} and \textit{Y. Privat}, Discrete Contin. Dyn. Syst. 2015, 936--944 (2015; Zbl 1381.93027) Full Text: DOI
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. (English) Zbl 1332.93069 Discrete Contin. Dyn. Syst. 35, No. 12, 6133-6153 (2015). MSC: 93B07 49K20 49Q10 PDFBibTeX XMLCite \textit{Y. Privat} et al., Discrete Contin. Dyn. Syst. 35, No. 12, 6133--6153 (2015; Zbl 1332.93069) Full Text: DOI
Fardigola, Larissa V. Transformation operators in controllability problems for the wave equations with variable coefficients on a half-axis controlled by the Dirichlet boundary condition. (English) Zbl 1322.93018 Math. Control Relat. Fields 5, No. 1, 31-53 (2015). MSC: 93B05 35B30 35L05 35L20 PDFBibTeX XMLCite \textit{L. V. Fardigola}, Math. Control Relat. Fields 5, No. 1, 31--53 (2015; Zbl 1322.93018) Full Text: DOI
Beauchard, Karine; Miller, Luc; Morancey, Morgan 2d Grushin-type equations: minimal time and null controllable data. (English) Zbl 1321.35098 J. Differ. Equations 259, No. 11, 5813-5845 (2015). MSC: 35K65 93B05 93B07 PDFBibTeX XMLCite \textit{K. Beauchard} et al., J. Differ. Equations 259, No. 11, 5813--5845 (2015; Zbl 1321.35098) Full Text: DOI
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Optimal shape and location of sensors for parabolic equations with random initial data. (English) Zbl 1319.35272 Arch. Ration. Mech. Anal. 216, No. 3, 921-981 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q90 80A20 35K10 93B07 90C15 49Q10 PDFBibTeX XMLCite \textit{Y. Privat} et al., Arch. Ration. Mech. Anal. 216, No. 3, 921--981 (2015; Zbl 1319.35272) Full Text: DOI arXiv Link
Privat, Yannick; Trélat, Emmanuel Control and stabilization of steady-states in a finite-length ferromagnetic nanowire. (English) Zbl 1351.78007 ESAIM, Control Optim. Calc. Var. 21, No. 2, 301-323 (2015). Reviewer: Vladimir Čadež (Beograd) MSC: 78A25 35F30 82D77 35Q60 93B52 PDFBibTeX XMLCite \textit{Y. Privat} and \textit{E. Trélat}, ESAIM, Control Optim. Calc. Var. 21, No. 2, 301--323 (2015; Zbl 1351.78007) Full Text: DOI
Komornik, Vilmos; Loreti, Paola Observability of rectangular membranes and plates on small sets. (English) Zbl 1354.74122 Evol. Equ. Control Theory 3, No. 2, 287-304 (2014). MSC: 74K15 74K20 93B07 35Q74 35L35 PDFBibTeX XMLCite \textit{V. Komornik} and \textit{P. Loreti}, Evol. Equ. Control Theory 3, No. 2, 287--304 (2014; Zbl 1354.74122) Full Text: DOI arXiv
Periago, Francisco Optimal design of the time-dependent support of bang-bang type controls for the approximate controllability of the heat equation. (English) Zbl 1293.49108 J. Optim. Theory Appl. 161, No. 3, 951-968 (2014). MSC: 49Q10 49J30 49M20 49J20 35K05 93B05 PDFBibTeX XMLCite \textit{F. Periago}, J. Optim. Theory Appl. 161, No. 3, 951--968 (2014; Zbl 1293.49108) Full Text: DOI
Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. (English) Zbl 1284.93039 J. Differ. Equations 256, No. 11, 3524-3551 (2014). MSC: 93B05 81Q93 93C20 35Q41 65M60 PDFBibTeX XMLCite \textit{U. Boscain} et al., J. Differ. Equations 256, No. 11, 3524--3551 (2014; Zbl 1284.93039) Full Text: DOI arXiv
Komornik, Vilmos; Miara, Bernadette Cross-like internal observability of rectangular membranes. (English) Zbl 1284.35249 Evol. Equ. Control Theory 3, No. 1, 135-146 (2014). MSC: 35L05 93B07 PDFBibTeX XMLCite \textit{V. Komornik} and \textit{B. Miara}, Evol. Equ. Control Theory 3, No. 1, 135--146 (2014; Zbl 1284.35249) Full Text: DOI
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Optimal observation of the one-dimensional wave equation. (English) Zbl 1302.93052 J. Fourier Anal. Appl. 19, No. 3, 514-544 (2013). MSC: 93B07 35L05 49K20 42B37 PDFBibTeX XMLCite \textit{Y. Privat} et al., J. Fourier Anal. Appl. 19, No. 3, 514--544 (2013; Zbl 1302.93052) Full Text: DOI Link
Nersesyan, Vahagn; Nersisyan, Hayk Global exact controllability in infinite time of Schrödinger equation. (English. French summary) Zbl 1263.93038 J. Math. Pures Appl. (9) 97, No. 4, 295-317 (2012). MSC: 93B05 93C20 35Q41 PDFBibTeX XMLCite \textit{V. Nersesyan} and \textit{H. Nersisyan}, J. Math. Pures Appl. (9) 97, No. 4, 295--317 (2012; Zbl 1263.93038) Full Text: DOI arXiv
Zuazua, Enrique Switching control. (English) Zbl 1203.49011 J. Eur. Math. Soc. (JEMS) 13, No. 1, 85-117 (2011). MSC: 49J20 93B05 93C20 93C30 35K05 PDFBibTeX XMLCite \textit{E. Zuazua}, J. Eur. Math. Soc. (JEMS) 13, No. 1, 85--117 (2011; Zbl 1203.49011) Full Text: DOI
Nersesyan, Vahagn Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications. (English) Zbl 1191.35257 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 901-915 (2010). MSC: 35Q55 93B05 58J05 35J10 PDFBibTeX XMLCite \textit{V. Nersesyan}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 901--915 (2010; Zbl 1191.35257) Full Text: DOI arXiv