Mazari-Fouquer, Idriss; Privat, Yannick; Trélat, Emmanuel Large-time optimal observation domain for linear parabolic systems. arXiv:2402.03980 Preprint, arXiv:2402.03980 [math.AP] (2024). BibTeX Cite \textit{I. Mazari-Fouquer} et al., ``Large-time optimal observation domain for linear parabolic systems'', Preprint, arXiv:2402.03980 [math.AP] (2024) Full Text: arXiv OA License
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel Quantum limits on product manifolds. (English) Zbl 1516.58010 Indiana Univ. Math. J. 72, No. 2, 757-783 (2023). Reviewer: Mostafa Sabri (Abu Dhabi) MSC: 58J50 58C40 PDFBibTeX XMLCite \textit{E. Humbert} et al., Indiana Univ. Math. J. 72, No. 2, 757--783 (2023; Zbl 1516.58010) Full Text: DOI arXiv
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
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel Observability for generalized Schrödinger equations and quantum limits on product manifolds. arXiv:2003.03094 Preprint, arXiv:2003.03094 [math.DG] (2020). BibTeX Cite \textit{E. Humbert} et al., ``Observability for generalized Schr\"odinger equations and quantum limits on product manifolds'', Preprint, arXiv:2003.03094 [math.DG] (2020) Full Text: arXiv OA License
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
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits. arXiv:1811.12717 Preprint, arXiv:1811.12717 [math.DS] (2018). BibTeX Cite \textit{E. Humbert} et al., ``Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits'', Preprint, arXiv:1811.12717 [math.DS] (2018) Full Text: arXiv OA License
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Optimal location of sensors and actuators for wave and heat processes. (English) Zbl 1373.49039 Ammari, Kaïs (ed.) et al., PDE’s, dispersion, scattering theory and control theory. Paris: Société Mathématique de France (ISBN 978-2-85629-858-9/pbk). Séminaires et Congrès 30, 123-139 (2017). MSC: 49N35 35L20 49J20 PDFBibTeX XMLCite \textit{Y. Privat} et al., Sémin. Congr. 30, 123--139 (2017; Zbl 1373.49039)
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
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
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; Trélat, Emmanuel; Zuazua, Enrique Optimal location of controllers for the one-dimensional wave equation. (English) Zbl 1296.49004 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1097-1126 (2013). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49J20 35L05 49J15 49Q10 49K35 PDFBibTeX XMLCite \textit{Y. Privat} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1097--1126 (2013; Zbl 1296.49004) Full Text: DOI
Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel Stability properties of steady-states for a network of ferromagnetic nanowires. (English) Zbl 1247.35173 J. Differ. Equations 253, No. 6, 1709-1728 (2012). MSC: 35Q82 35B35 82D37 PDFBibTeX XMLCite \textit{S. Labbé} et al., J. Differ. Equations 253, No. 6, 1709--1728 (2012; Zbl 1247.35173) Full Text: DOI