univ. de Nantes
           François NICOLEAU
          
Maître de conférences.
          
e-mail nom"at"math.univ-nantes.fr
             T
éléphone:  +33 02 51 12 59 13
            
Télécopie :  +33 02 51 12 59 12

          Laboratoire de Mathématiques Jean Leray UMR 6629
          2 Rue de la Houssinière BP 92208
          F-44322 Nantes Cedex 03




 

Research interests :

 

 


Publications :

 

[1] (with Didier Robert), Théorie de la diffusion pour des perturbations à longue et courte portée du champ magnétique,
Annales de la Faculté de Toulouse, Vol. XII, (2), (1991), ps file.


[2] Approximation semi-classique du propagateur d'un système électromagnétique et phénomène de Aharonov-Bohm,
Helv. Phys. Acta, Vol. 65, (1992), ps file.


[3] Matrice de diffusion pour l'opérateur de Schrödinger avec champ magnétique,
Journées Equations aux Dérivées Partielles, Ecole Polytechnique, (1993), ps file, pdf file.


[4] Matrice de diffusion pour l'opérateur de Schrödinger en présence d'un champ magnétique. Phénomène de Aharonov-Bohm,
Annales Institut Henri Poincaré, Vol. 61, (3), (1994), ps file, pdf file.
Erratum, Annales Institut Henri Poincaré Vol. 4, (2003) ps file, pdf file.


[5]  A stationary approach to inverse scattering for Schrödinger operators with first order perturbation,
Communications in PDE, Vol. 22, (3&4), (1997), ps file, pdf file.


[6] An inverse scattering problem with the Aharonov-Bohm effect,
Journal of Mathematical Physics, Issue 8, pp. 5223-5237, (2000), ps file, pdf file.


[7] Inverse scattering for Stark Hamiltonians with short-range potentials,
Asymptotic Analysis, 35 (3-4), pp. 349-359, (2003), ps file, pdf file,


[8]  A constructive procedure to recover asymptotics of short-range or long-range potentials,
Journal in Differential Equations 205, p. 354-364, (2004), ps file, pdf file.


[9] An inverse scattering problem for short-range systems in a time-periodic electric field,
Mathematical Research Letters, Vol. 12, Issue 16, pp. 885-896, (2005),  ps file, pdf file.
 

[10] Inverse scattering for a Schrödinger operator with a repulsive potential,
Acta Mathematica Sinica, Springer, Vol. 22, Number 5, (2006),  ps file, pdf file.


[11]  An inverse scattering problem for the Schrödinger equation in a semiclassical process,
Journal de Mathématiques Pures et Appliquées, vol. 86, pp. 463-470, (2006),  pdf file.


[12] (with Thierry Daudé),  Recovering the mass and the charge of a Reissner-Nordström black hole by an inverse scattering experiment,
Inverse Problems, Vol. 24, n°2, (2008),  pdf file , Erratum.


[13] (with Thierry Daudé), Inverse scattering in de Sitter-Reissner-Nordström black hole spacetimes,
Reviews in Mathematical Physics,  Vol 22, Issue 4, pp 431-484, (2010), pdf file .


[14] (with Thierry Daudé), Inverse scattering at fixed energy in de Sitter-Reissner-Nordström black hole,  
Annales Henri Poincaré, Vol. 12, pp. 1-47, (2011), pdf file.

 

[15] (with Xiaoyao Jia and Xue Ping Wang), A new Levinson's theorem for potentials with critical decay, 
Annales Henri Poincaré, Vol. 13, Issue 1, pp. 41-84, (2012),
pdf file.

 

[16] (with Thierry Daudé ), Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes, 
Memoirs of the AMS, Volume 247, Number 1170, 119 pages, (2017)
pdf file.

 

[17] (with Thierry Daudé and Damien Gobin), Local inverse scattering results at fixed energy in spherically symmetric asymptotically hyperbolic manifolds, 
Inverse Problems and Imaging, Volume 10, Number 3, pages 659-688, (2016).
pdf file.

 

[18] (with Thierry Daudé and Niky Kamran), Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces, 
Inverse Problems, Volume 31, Number 12, 39 pages, (2015).
pdf file.

 

[19] (with Thierry Daudé), Local inverse scattering at a fixed energy for radial Schrödinger operators and localization of the Regge poles, 
Annales Henri Poincaré 17, 55 pages 2849-2904, (2016).
pdf file.

 

[20] (with Thierry Daudé and Niky Kamran), Non-uniqueness results in the anisotropic Calderon problem with data measured on disjoints sets, 
Annales de l'Institut Fourier, Vol. 69, n°1, pp. 119-170, (2019).
pdf file.

 

[21] (with Daniel Parra and Serge Richard ), Does Levinson's theorem count complex eigenvalues ?, 
Journal of Mathematical Physics, 58, 102101, (2017).
pdf file.

 

[22] (with Thierry Daudé and Niky Kamran), On the hidden mechanism behind non-uniqueness for the anisotropic Calderon problem with data on disjoint sets, 
Annales Henri Poincaré, Volume 20 , Issue 3, pp. 859-887, (2019),
pdf file.

 

[23] (with Thierry Daudé and Niky Kamran), A survey of non-uniqueness results for the anisotropic Calderon problem with disjoint data, 
Harvard CMSA Series in Mathematics, Volume 2: Nonlinear Analysis in Geometry and Applied Mathematics, ed. T. Collins and S.-T. Yau, 21 pages, (2018),
pdf file.

 

[24] (with Thierry Daudé and Niky Kamran), The anisotropic Calderon problem for singular metric of warped product type : the borderline between uniqueness and invisibility, 
to appear in Journal of Spectral Theory, 39 pages, (2018), ArXiv:1805.05627,
pdf file.

 

[25] (with Jérémy Faupin), Scattering matrices for dissipative quantum systems, 
Journal of Functional Analysis, Volume 277, Issue 9, pp. 3062-3097, (2019),
pdf file.

 

[26] (with Thierry Daudé and Niky Kamran), Stability in the inverse Steklov problem on warped product Riemannian manifolds, 
to appear in The Journal of Geometrical Analysis, 28 pages, (2018), ArXiv:1812.07235
pdf file.

 

[27] (with Thierry Daudé and Niky Kamran), On non-uniqueness for the anisotropic Calderon problem with partial data, 
submitted, 14 pages, (2019), Hal-01995904, ArXiv:1901.10467
pdf file.

 

[28] (with Thierry Daudé and Niky Kamran), Separability and symmetry operators for Painlevé metrics and their conformal deformations, 
SIGMA 15 , 069, (Symmetry, Integrability and Geometry : Methods and Applications), 42 pages, (2019),
pdf file.

 

[29] (with Thierry Daudé and Niky Kamran), The anisotropic Calderon problem on 3-dimensional conformally Stäckel manifolds, 
submitted, 52 pages, (2019), ArXiv 1909.01669,
pdf file.

 

 

PhD's studients :


1 - Damien GOBIN (2013-2016) : Etude de diffusion inverse à énergie fixée pour des variétés asymptotiquement hyperboliques.

Thesis co-directed with Thierry DAUDE (Université de Cergy-Pontoise). Thesis defended june, 26th, 2016.

Current position (2016-2018) : Post-doc McGill University. From September 2019, PRAG Polytech Tours.


2 - Germain GENDRON (2017- ...) : Etude de la notion de stabilité dans le problème de Calderon anisotropique.

Thesis co-directed with Thierry DAUDE (Université de Cergy-Pontoise).

 

 

Habilitation à diriger les recherches :


[H1] Une étude de diffusion inverse pour un opérateur de Schrödinger avec champ électromagnétique,
Université de Nantes, 17 décembre 2004, (rapport de recherche) ps file, pdf file.


[H2] Une étude de diffusion inverse pour un opérateur de Schrödinger avec champ électromagnétique,
Université de Nantes, 17 décembre 2004, (transparents) ps file, pdf file.