Skip to Main content
Number of documents

38


Journal articles23 documents

  • Emmanuel Humbert, yannick Privat, Emmanuel Trélat. Geometric and probabilistic results for the observability of the wave equation. Journal de l'École polytechnique — Mathématiques, École polytechnique, 2022, Tome 9, pp.431--461. ⟨10.5802/jep.186⟩. ⟨hal-01652890v3⟩
  • yichun Liu, Jean Sulem, Didier Subrin, Huy Tran-Manh, Emmanuel Humbert. Time-Dependent Behavior of Saint-Martin-La-Porte Exploratory Galleries: Field Data Processing and Numerical Modeling of Excavation in Squeezing Rock Conditions. International Journal of Geomechanics, American Society of Civil Engineers, 2021, 21 (12), ⟨10.1061/(ASCE)GM.1943-5622.0002200⟩. ⟨hal-03409430⟩
  • Emmanuel Humbert, yannick Privat, Emmanuel Trélat. Observability properties of the homogeneous wave equation on a closed manifold. Communications in Partial Differential Equations, Taylor & Francis, 2019, 44 (9), pp.749--772. ⟨10.1080/03605302.2019.1581799⟩. ⟨hal-01338016v4⟩
  • Bernd Ammann, Mattias Dahl, Emmanuel Humbert. Low-dimensional surgery and the Yamabe invariant. Journal of the Mathematical Society of Japan, Maruzen Company Ltd, 2015, 67 (1), pp.159-182. ⟨10.2969/jmsj/06710159⟩. ⟨hal-01282155⟩
  • Bernd Ammann, Mattias Dahl, Andreas Hermann, Emmanuel Humbert. Mass endomorphism, surgery and perturbations. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2014, 64 (2), pp.467-487. ⟨10.5802/aif.2855⟩. ⟨hal-00521700⟩
  • Bernd Ammann, Mattias Dahl, Emmanuel Humbert. The conformal Yamabe constant of product manifolds. Proceedings of the American Mathematical Society, American Mathematical Society, 2013. ⟨hal-01282903⟩
  • Bernd Ammann, Mattias Dahl, Emmanuel Humbert. Square-integrability of solutions of the Yamabe equation. Communications in Analysis and Geometry, International Press, 2013, 21 (5), pp.891-916. ⟨10.4310/CAG.2013.v21.n5.a2⟩. ⟨hal-01282157⟩
  • Bernd Ammann, Mattias Dahl, Emmanuel Humbert. Smooth Yamabe invariant and surgery. Journal of Differential Geometry, 2013, 94 (1), pp.1-58. ⟨hal-00271361v3⟩
  • Mattias Dahl, Romain Gicquaud, Emmanuel Humbert. A non-existence result for a generalization of the equations of the conformal method in general relativity. Classical and Quantum Gravity, IOP Publishing, 2013, 30 (7), ⟨10.1088/0264-9381/30/7/075004⟩. ⟨hal-00783621⟩
  • Mattias Dahl, Romain Gicquaud, Emmanuel Humbert. A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method. Duke Mathematical Journal, Duke University Press, 2012, 161 (14), pp.2669-2698. ⟨hal-00783632⟩
  • Bernd Ammann, Mattias Dahl, Emmanuel Humbert. Harmonic spinors and local deformations of the metric. Mathematical Research Letters, 2011. ⟨hal-01282305⟩
  • Mattias Dahl, Emmanuel Humbert. An isoperimetric constant associated to horizons in S3 blown-up at two points. Journal of Geometry and Physics, Elsevier, 2011. ⟨hal-01282908⟩
  • Emmanuel Humbert, Simon Raulot. Positive mass theorem for the Paneitz-Branson operator. Calculus of Variations and Partial Differential Equations, Springer Verlag, 2009, 36 (4), pp.525-531. ⟨10.1007/s00526-009-0241-6⟩. ⟨hal-00297324⟩
  • Bernd Ammann, Emmanuel Humbert, Mohameden Ould Ahmedou. A Pohozaev type identity for Dirac operators. Proceedings of the American Mathematical Society, American Mathematical Society, 2007, 135, pp.489-493. ⟨hal-00091168⟩
  • Bernd Ammann, Emmanuel Humbert. The first conformal Dirac eigenvalue on 2-dimensional tori. Journal of Geometry and Physics, Elsevier, 2006, 56, pp.623-642. ⟨hal-00101461⟩
  • Bernd Ammann, Emmanuel Humbert, Bertrand Morel. Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds. Communications in Analysis and Geometry, 2006, 14, pp.163-182. ⟨hal-00101446⟩
  • Pascal Hébrard, Emmanuel Humbert. The geometrical quantity in damped wave equations on a square.. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2006, 12 (4), pp.636-661. ⟨hal-00151174⟩
  • Bernd Ammann, Emmanuel Humbert. The second Yamabe invariant. Journal of Functional Analysis, Elsevier, 2006, 235, pp.377-412. ⟨hal-00140807⟩
  • Emmanuel Humbert. Extremal functions for the sharp $L^2-$ Nash inequality. Calculus of Variations and Partial Differential Equations, Springer Verlag, 2005, 22, No 1, p 21-44. ⟨hal-00138199⟩
  • Emmanuel Humbert. Extremal functions functions for the sharp $L\sp 2$-Nash inequality. Calculus of Variations and Partial Differential Equations, Springer Verlag, 2005, 22 (1), pp.21-44. ⟨hal-00146731⟩
  • Bernd Ammann, Emmanuel Humbert. Positive mass theorem for the Yamabe problem on Spin manifolds. Geometric And Functional Analysis, Springer Verlag, 2005, 15 (3), pp.567-576. ⟨10.1007/s00039-005-0521-z⟩. ⟨hal-00138756⟩
  • Emmanuel Humbert, Michel Vaugon. The problem of prescribed critical functions. annals of global analysis, 2005, 28, No1, p 19-34. ⟨10.1007/s10455-005-1583-8⟩. ⟨hal-00138196⟩
  • Bernd Ammann, Emmanuel Humbert, Bertrand Morel. Un problème de type Yamabe sur les variétés compactes spinorielles compactes. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2004, 338 (12), pp.929-934. ⟨hal-00147465v2⟩

Conference papers1 document

  • Bernd Ammann, Emmanuel Humbert. The first eigenvalue of the Dirac operator in a conformal class. Symmetry in Geometry and Physics, conference in Honour of D. V. Alekseevsky, 2005, Rome, Italy. ⟨hal-00098394⟩

Book sections1 document

  • yichun Liu, Jean Sulem, Didier Subrin, Huy Tran-Manh, Emmanuel Humbert. Numerical Modeling of Rock-Support Interaction Under Squeezing Conditions. Challenges and Innovations in Geomechanics. IACMAG 2021. Lecture Notes in Civil Engineering, vol 126. Springer, pp.403-410, 2021, ⟨10.1007/978-3-030-64518-2_48⟩. ⟨hal-03153229⟩

Preprints, Working Papers, ...13 documents

  • Emmanuel Humbert, yannick Privat, Emmanuel Trélat. Quantum Limits on product manifolds. 2022. ⟨hal-03562358⟩
  • Emmanuel Humbert, yannick Privat, Emmanuel Trélat. Observability for generalized Schrödinger equations and quantum limits on product manifolds. 2020. ⟨hal-02496644⟩
  • Andreas Hermann, Emmanuel Humbert. Mass functions of a compact manifold. 2018. ⟨hal-01818684⟩
  • Emmanuel Humbert, yannick Privat, Emmanuel Trélat. Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits. 2018. ⟨hal-01939709⟩
  • Emmanuel Humbert, Luc Molinet. Optimal transportation between hypersurfaces bounding some strictly convex domains. 2015. ⟨hal-01271012⟩
  • Andreas Hermann, Emmanuel Humbert. About the mass of certain second order elliptic operators. 2014. ⟨hal-00925288⟩
  • Emmanuel Humbert. Mécanique Quantique. 2012. ⟨hal-00660265⟩
  • Emmanuel Humbert. Relativité générale (d'après M.Vaugon) et quelques problèmes mathématiques qui en sont issus. 2010. ⟨hal-00530721v2⟩
  • Emmanuel Humbert. Relative Yamabe invariant and c-concordant metrics. 2008. ⟨hal-00309127v2⟩
  • Bernd Ammann, Mattias Dahl, Emmanuel Humbert. Surgery and the spinorial tau-invariant. 2008. ⟨hal-00184126v3⟩
  • Bernd Ammann, Mattias Dahl, Emmanuel Humbert. Surgery and Harmonic Spinors. 2006. ⟨hal-00079157⟩
  • Bernd Ammann, Emmanuel Humbert. The spinorial $\tau$-invariant and 0-dimensional surgery. 2006. ⟨hal-00087981⟩
  • Jean-Francois Grosjean, Emmanuel Humbert. The first eigenvalue of Dirac and Laplace operators on surfaces. 2006. ⟨hal-00095771⟩