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**//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// :**  



- L. Cardoulis and M. Cristofol  "An inverse problem for a generalized Fitzhug-Nagumo type system" , soumis à Applicable Analysis  (2022)


**//Articles publiés dans des revues internationales à comité de lecture // :**

37- M. Cristofol, L. Shumin  and Y. Shang "Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part II: some inverse problems" accpeté dans Mathematical Methods in the Applied Sciences (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&quot; 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⟩