Franck, Emmanuel; Privat, Yannick Controlling, optimizing, deciding. (Contrôler, optimiser, décider.) (French) Zbl 1517.93010 Gaz. Math., Soc. Math. Fr. 174, 9-21 (2022). Reviewer: Henri Bourlès (Paris) MSC: 93B05 93C10 93C20 93E03 93-02 PDFBibTeX XMLCite \textit{E. Franck} and \textit{Y. Privat}, Gaz. Math., Soc. Math. Fr. 174, 9--21 (2022; Zbl 1517.93010)
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
Braida, B.; Dalphin, J.; Dapogny, C.; Frey, P.; Privat, Y. Shape and topology optimization for maximum probability domains in quantum chemistry. (English) Zbl 1497.35400 Numer. Math. 151, No. 4, 1017-1064 (2022). MSC: 35Q40 35Q55 35P20 93B07 58J51 49J45 49K20 49Q10 35A01 35A02 65M50 35R60 PDFBibTeX XMLCite \textit{B. Braida} et al., Numer. Math. 151, No. 4, 1017--1064 (2022; Zbl 1497.35400) Full Text: DOI
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
Courtès, C.; Franck, E.; Lutz, K.; Navoret, L.; Privat, Y. Reduced modelling and optimal control of epidemiological individual-based models with contact heterogeneity. arXiv:2205.06539 Preprint, arXiv:2205.06539 [math.OC] (2022). MSC: 49M99 93B45 93-10 92D30 BibTeX Cite \textit{C. Courtès} et al., ``Reduced modelling and optimal control of epidemiological individual-based models with contact heterogeneity'', Preprint, arXiv:2205.06539 [math.OC] (2022) Full Text: arXiv OA License
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
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
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
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
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
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
Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel Nonlinear damped partial differential equations and their uniform discretizations. (English) Zbl 1364.37155 J. Funct. Anal. 273, No. 1, 352-403 (2017). MSC: 37L15 93D15 35B35 35L60 35L70 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} et al., J. Funct. Anal. 273, No. 1, 352--403 (2017; Zbl 1364.37155) 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
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
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. (English) Zbl 1338.35320 J. Eur. Math. Soc. (JEMS) 18, No. 5, 1043-1111 (2016). Reviewer: Christian Seifert (Hamburg) MSC: 35P20 93B07 58J51 49K20 PDFBibTeX XMLCite \textit{Y. Privat} et al., J. Eur. Math. Soc. (JEMS) 18, No. 5, 1043--1111 (2016; Zbl 1338.35320) 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
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
Jounieaux, Pierre; Privat, Yannick; Trélat, Emmanuel Optimal design of boundary observers for the wave equation. (English) Zbl 1331.35212 ESAIM, Proc. Surv. 45, 475-484 (2014). MSC: 35L20 35Q93 35R30 93B07 PDFBibTeX XMLCite \textit{P. Jounieaux} et al., ESAIM, Proc. Surv. 45, 475--484 (2014; Zbl 1331.35212) Full Text: DOI
Bergounioux, Maïtine; Bonnefond, Xavier; Haberkorn, Thomas; Privat, Yannick An optimal control problem in photoacoustic tomography. (English) Zbl 1298.49054 Math. Models Methods Appl. Sci. 24, No. 12, 2525-2548 (2014). MSC: 49N45 49K20 35R30 35M33 80A23 93C20 92C55 PDFBibTeX XMLCite \textit{M. Bergounioux} et al., Math. Models Methods Appl. Sci. 24, No. 12, 2525--2548 (2014; Zbl 1298.49054) 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
Privat, Yannick; Sigalotti, Mario Erratum of “The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent”. (English) Zbl 1206.35181 ESAIM, Control Optim. Calc. Var. 16, No. 3, 806-807 (2010). MSC: 35P05 93C20 49K20 35-02 PDFBibTeX XMLCite \textit{Y. Privat} and \textit{M. Sigalotti}, ESAIM, Control Optim. Calc. Var. 16, No. 3, 806--807 (2010; Zbl 1206.35181) Full Text: DOI EuDML
Privat, Yannick; Sigalotti, Mario The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent. (English) Zbl 1203.35005 ESAIM, Control Optim. Calc. Var. 16, No. 3, 794-805 (2010); erratum ibid. 16, No. 3, 806-807 (2010). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 35-02 35P05 93C20 49K20 PDFBibTeX XMLCite \textit{Y. Privat} and \textit{M. Sigalotti}, ESAIM, Control Optim. Calc. Var. 16, No. 3, 794--805 (2010; Zbl 1203.35005) Full Text: DOI arXiv EuDML