Publications :

- Habilitation à diriger des recherches : M.Cristofol : Analyse spectrale de guides d’ondes en élasticité. Problèmes inverses pour des opérateurs de type Schrödinger ou paraboliques, HDR soutenue le 2 Mai 2011.

- Thèse : M.Cristofol : Etude mathématique de la propagation d'ondes guidées dans un milieu élastique tridimensionnel non borné stratifié et localement perturbé, Thèse soutenue le 30 Janvier 1998.

Articles soumis dans des revues internationales à comité de lecture :

- M. Cristofol and M. Yamamoto “Inverse stable reconstruction of 3 coefficients for the heterogeneous Maxwell equations by finite number of partial interior observations”, soumis à Inverse Problems (2023)

Articles publiés dans des revues internationales à comité de lecture :

38- L. Cardoulis and M. Cristofol “An inverse problem for a generalized Fitzhug-Nagumo type system”, accepté pour publication dans Applicable Analysis, (2023)

37- M. Cristofol, S. Li and Y. Shang “Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part II: some inverse problems” Mathematical Methods in the Applied Sciences, vol 46, issue 12, (2023)

36 - L. Cardoulis, M. Cristofol and M. Morancey “A stability result for the diffusion coefficient of the heat operator defined on an unbounded guide” , Mathematical Control and Related Fields, Vol 11 N°4, 965-985 (2021)

35 - M. Cristofol and L. Roques “Simultaneous Determination of Two Coefficients in Itô Diffusion Processes: Theoretical and Numerical Approaches” dans Inverse problems and related topics, 47–57, Springer Proc. Math. Stat., 310, Springer, (2020).

34 - M. Bellassoued, R. Brummelhuis, M. Cristofol and E. Soccorsi “Stable reconstruction of the volatility in a regime-switching local volatility model”, Mathematical Control and Related Fields, Vol10, N°1, 189-215 (2020).

33 - L. Beilina, M. Cristofol and S. Li “Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem” dans Nonlinear and inverse problems in electromagnetics, 133–145, Springer Proc. Math. Stat., 243, Springer, Cham, (2018).

32 - L. Beilina, M. Cristofol S. Li and M. Yamamoto “Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations” Inverse Problems 34 (2018) 015001

31 - L. Beilina, M. Cristofol and S. Li “Determining the conductivity for a non-autonomous hyperbolic operator in a cylindrical domain.” Math. Meth. Appl. Sci. (2017), 00 1–21

30 - M. Cristofol and L. Roques “Simultaneous determination of the drift and diffusion coefficients in stochastic differential equations ”, Inverse Problems 33, 9 (2017).

29 - L. Cardoulis and M. Cristofol “An inverse problem for the heat equation in an unbounded guide”, Applied Mathematics Letters, 62, 63-68, (2016).

28 - M. Cristofol, S. Li and E. Soccorsi Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary» Mathematical Control and Related Fields, V6, N°3, 407-427 (2016).

27 - L. Beilina, M. Cristofol and K. Niinimäki “Simultaneous reconstruction of Maxwell's coefficients from backscattering data” Inverse problems and applications, 135–151, Springer Proc. Math. Stat., 120, Springer, Cham, (2015).

26 - L. Beilina, M. Cristofol and K. Niinimäki “Optimization approach for the simultaneous reconstructions of the dielectric permittivity and magnetic permeability functions from limited observations”. Inverse Problem and Imaging, 9, N°1, 1-25, (2015).

25 - L. Roques, M.D. Checkroun, M. Cristofol, S. Soubeyrand and M. Ghil “Determination and estimation of parameters in Energy Balance Models with memory”, Proceedings of the Royal Society A, 470, 20140349, (2014).

24 - M. Cristofol, I. Kaddouri, G. Nadin and L. Roques, “Coefficient determination via asymptotic spreading speeds”, Inverse Problems, 30, 035005, 16 pp (2014).

23 - A. Benabdallah, M. Cristofol, Luz de Teresa and P. Gaitan : Controllability to trajectories for some parabolic systems of three and two equations by one control force Mathematical Control and Related Fields, Volume 4, Issue 1, 17-44, (2014).

22 - M. Cristofol and L. Roques : Stable estimation of two coefficients in a non linear Fisher-KPP equation Inverse Problems, 29, 095007, 18 pp, (2013).

21 - M. Cristofol, P. Gaitan, K. Niinimäki and O. Poisson Inverse problem for a coupled parabolic system with discontinuous conductivities: One dimensional case, Inverse Problem and Imaging, Volume 7, Issue 1, 159-182, (2013).

20 - M. Bellassoued, M. Cristofol and E. Soccorsi Inverse boundary problem for the dynamical heterogeneous Maxwell system Inverse Problem, 28, 095009 , 18 pp, (2012).

19 - L. Cardoulis and M. Cristofol Inverse Problem for a Curved Quantum Guide International Journal of Mathematics and Mathematical Sciences Volume 2012, Article ID 651390, 12 pages (2012).

18 - L. Roques and M. Cristofol The inverse problem of determining several coefficients in a non linear Lotka-Volterra system» Inverse Problem, 28, 075007, 12 pp, (2012).

17 - M. Cristofol and L. Roques : An inverse problem involving two coefficients in a non linear reaction-diffusion equation" Comptes rendus Mathématiques Volume 350, Issues 9-10, May , 469-473 (2012).

16 - M. Cristofol, J.Garnier, F. Hamel and L. Roques : Uniqueness from pointwise observations in a multi-parameter inverse problem» Communication in Pure and Applied Analysis, 11, issue 1, 173-188 (2012).

15 - M. Cristofol, P. Gaitan, H. Ramoul and M. Yamamoto : Identification of two independant coefficients with one observation for a non linear parabolic system Applicable Analysis, 91, issue 11, 2073-2081 (2012).

14 - M. Cristofol and E. Soccorsi : Stability estimate in an inverse problem for non autonomous magnetic Schrödinger equations, Applicable Analysis, 90, issue 10, 1499-1520 (2011).

13 - L. Roques and M. Cristofol : On the determination of the nonlinearity from localized measurements in a reaction-diffusion equation, Nonlinearity 23, p 675-686 (2010).

12 - A. Benabdallah, M. Cristofol, Luz de Teresa and P. Gaitan : A New Carleman Inequality for Parabolic Systems with a Single Observation and Applications Comptes rendus Mathématiques Académie des Sciences 348, Issues 1-2 p 25-29 (2010).

11 - A. Benabdallah, M. Cristofol, P. Gaitan and M. Yamamoto : Inverse problem for a parabolic system with two components by measurement of one component, Applicable Analysis, Vol 88, n° 5, 683-710 (2009).

10 - L. Cardoulis, M. Cristofol and P. Gaitan : Inverse Problem for the Schrödinger Operator in an Unbounded Strip , J. Inv. Ill-Posed Problems,V.16, N2, pp.127-146 (2008).

9 - M. Cristofol and L. Roques : Biological invasions : deriving the regions at risk from partial measurements, Math. Biosci 215 n°2, 158-166 (2008).

8 - L. Cardoulis, M. Cristofol and P. Gaitan : Inverse Problem for the Schrödinger Operator in an Unbounded Strip , C. R. Acad. Sci. Paris, 346 n° 11-12, 635-640 (2008).

7 - M. Cristofol, P. Gaitan and H. Ramoul : Inverse Problems for a two by two reaction-diffusion system using a Carleman estimate with one observation. Inverse Problems, 22, 1561-1573, (2006).

6 - M. Cristofol, P. Gaitan and V. Iftimie : Inverse Problem for the Schrödinger Operator in a Layer, Revue Roumaine de Mathematiques Pures et Appliquées Tome L. N°2. (2005).

5 - M. Cristofol and P. Gaitan : Inverse Problem for a Perturbed Stratified Strip in Two Dimension, Mathematical Methods in the Applied Sciences, 27:1-17 (2004).

4 - L. Cardoulis, M. Cristofol and P. Gaitan : An Inverse Spectral Problem for a Schrödinger Operator with an Unbounded Potential, Inverse Problems, 19, 467-476, (2003).

3 - M. Cristofol : Guided waves in a stratified elastic and locally perturbed space, Mathematical Methods in the Applied Sciences.23, 1257-1286 (2000).

2 - M. Cristofol, J. Duterte : Non monotonie numerique de courbes de dispersion en élasticité linéaire, C. R. Acad. Sci. Paris, t.327, Série IIb, p. 481-484, (1999).

1- M. Cristofol : Spectre essentiel et ondes élastiques guidées dans l'espace stratifié et perturbé, C. R. Acad. Sci. Paris, t. 326, Série I, p. 515-518, (1998).

Direction d'ouvrages collectifs :

L. Beilina, Michel Cristofol, Maïtine Bergounioux, Anabela da Silva, Amelie Litman. Mathematical and Numerical Approaches for Multi-Wave Inverse Problems, Marseille, CIRM, France. 328, Springer, (2020), Springer proceedings in Mathematics & Statistics, 978-3-030-48633-4. ⟨10.1007/978-3-030-48634-1⟩. ⟨hal-02951593⟩