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Page personnelle de Laurent Amour

Professeur des Universités
Laboratoire de Mathématiques
EA-4535, Université de Reims Champagne-Ardenne
Moulin de la Housse, BP 1039
51687 REIMS Cedex 2, France. laurent.amour(at)univ-reims.fr
42 ans

Thématiques de recherche

Publications

  1. Amour Laurent, Faupin Jérémy, Inverse spectral results for Schrödinger operators in Sobolev spaces, Int. Math. Res. Notes, 4319-4333 (2010).
  2. Amour Laurent, Faupin Jérémy, Hyperfine splitting for Hydrogen in non relativistic QED, R.M.P., à paraître.
  3. Amour Laurent, Pierre Lévy-Bruhl, Jean Nourrigat, Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators, Colloq. Math. 118 (2010), no. 2, 609–648.
  4. Amour Laurent, Explicit isospectral flows for the AKNS operator on the unit interval, Inverse Problems, 25, No 9, 095008 (2009).
  5. Amour L., Faupin J., Raoux T., Inverse Spectral Results for Schrödinger Operators on the Unit Interval with Partial Informations Given on the Potentials, Journal of Mathematical Physics, 50, 033505, (2009).
  6. Amour Laurent, Jérémy Faupin, Existence of a ground state for confined hydrogen atom in non relativistic QED, Quantum few-body systems: Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems. AIP Conference Proceedings, Volume 998 (2008), 30-42.
  7. Amour Laurent, Faupin Jérémy, Grébert Benoît, Guillot Jean-Claude, On the Infrared Problem for the Dressed Non-Relativistic Electron in a Magnetic Field, Contemporary Mathematics, 500 (2009), 1-23.
  8. Amour Laurent, Faupin Jérémy, Grébert Benoît, Guillot Jean-Claude, Le problème infrarouge pour l'électron habillé non relativiste dans un champ magnétique, C. R. Math. Acad. Sci. Paris 346, (2008), n°19-20, 1045-1050.
  9. Amour Laurent, Claudy Cancelier, Pierre Lévy-Bruhl, Jean Nourrigat, Decay of quantum correlations in a lattice by heat kernal methods, Ann. Henri Poincaré 8 (2007), 1469—1506.
  10. Amour Laurent, Thierry Raoux, Inverse spectral theory for Schrödinger operators in Lp spaces, Inverse Problems 23 (2007), 2367—2373.
  11. Amour Laurent, Jéremy Faupin, The confined hydrogenoid ion in non relativistic quantum electrodynamic, Cubo A math. J. 9 (2007), no.2, 103—137.
  12. Amour Laurent, Grébert Benoît, Guillot Jean-Claude, A mathematical model for the Fermi weak interactions, Cubo A math. J. 9 (2007), no.2, 37—57.
  13. Amour Laurent, Grébert Benoît, Guillot Jean-Claude, The dressed mobile atoms and ions, J. Math. Pures Appl. (9) 86 (2006), no. 3, 177--200.
  14. Amour, Laurent, Faupin Jérémy L'ion hydrogénoïde piégé en électrodynamique quantique non relativiste, C. R. Math. Acad. Sci. Paris 343 (2006), no. 1, 27--30.
  15. Amour Laurent, Grébert Benoît, Guillot Jean-Claude, The dressed nonrelativistic electron in a magnetic field. Math. Methods Appl. Sci. 29 (2006), no. 10, 1121--1146.
  16. Amour Laurent, Grébert Benoît, Guillot Jean-Claude, L'électron habillé non relativiste dans un champ magnétique, C. R. Math. Acad. Sci. Paris 340 (2005), no. 6, 421--426.
  17. Amour Laurent;, Cancelier Claudy, Levy-Bruhl, Pierre, Nourrigat Jean, States of a one dimensional quantum crystal, C. R. Math. Acad. Sci. Paris 336 (2003), no. 12, 981--984.
  18. Amour L., Raoux T. The Cauchy problem for a coupled semilinear parabolic system. Nonlinear Anal. 52 (2003), no. 3, 891—904.
  19. Amour L. Isospectral flows of third order operators, SIAM J. Math. Anal. 32 (2001), no. 6, 1375—1389.
  20. Amour L., Brummelhuis R., Nourrigat J. Resonances of the Dirac Hamiltonian in the non relativistic limit, Ann. Henri Poincaré 2 (2001), no. 3, 583--603.
  21. Amour L., Raoux T. L1 decay properties for a semilinear parabolic system. Israel J. Math. 123 (2001), 157--177.
  22. Amour L.,Kerdelhué Ph., Nourrigat J. Calcul pseudodifferentiel en grande dimension. Asymptot. Anal. 26 (2001), no. 2, 135—161.
  23. Amour Laurent, Raoux Thierry, Decay of mass for a semilinear parabolic system. Partial differential equations, 63--71, Lecture Notes in Pure and Appl. Math., 229, Dekker, New York, 2002.
  24. Amour Laurent, Raoux Thierry Existence et décroissance en norme $L\sp 1$ des solutions d'un système parabolique semi-linéaire, C. R. Acad. Sci. Paris Sér. I Math. 329 (1999), no. 5, 367--370.
  25. Amour L. Determination of a third-order operator from two of its spectra, SIAM J. Math. Anal. 30 (1999), no. 5, 1010—1028.
  26. Amour L., Guillot J. C., Examples of discrete operators with a pure point spectrum of finite multiplicity, J. Math. Anal. Appl. 229 (1999), no. 1, 170—183.
  27. Amour Laurent, Ben-Artzi Matania, Global existence and decay for viscous Hamilton-Jacobi equations, Nonlinear Anal. 31 (1998), no. 5-6, 621--628.
  28. Amour Laurent, Extensions on isospectral sets for AKNS systems, Inverse Problems 12 (1996), no. 2, 115--120.
  29. Amour L., Guillot J.-C., Isospectral sets for AKNS systems on the unit interval with generalized periodic boundary conditions, Geom. Funct. Anal. 6 (1996), no. 1, 1--27.
  30. Amour Laurent, Almost periodicity for the nonlinear cubic Schrödinger equation, Israel J. Math. 92 (1995), no. 1-3, 333--348.
  31. Amour Laurent, Guillot Jean-Claude, Variétés isospectrales pour les systèmes AKNS sur l'intervalle unité avec des conditions aux limites périodiques généralisées, C. R. Acad. Sci. Paris Sér. I Math, 320 (1995), no. 6, 675--679.
  32. Amour Laurent, Inverse spectral theory for the AKNS system with separated boundary conditions. Inverse Problems 9 (1993), no. 5, 507—523.
  33. Amour Laurent, Variétés isospectrales et caractérisation des spectres pour les opérateurs AKNS, C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), no. 7, 663—666.

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