Research Interests

Inverse problems for partial differential equations. Uniqueness and stability estimates.

Selected Publications

• M. Di Cristo, C-L. Lin, J-N. Wang, Quantitative uniqueness estimates for the shallow shell system and their application to an inverse problem,Ann. Sc. Norm. Super. Pisa Cl. Sci. 12 (2013), pp. 43-92. (Link)

• M. Di Cristo, C-L. Lin, A. Morassi, E. Rosset S. Vessella, J-N. Wang, Doubling inequalities for anisotropic plate equations and size estimates of inclusions, Inverse Problems 29 (2013), 17 pp. (Link)
  

• M. Di Cristo, C-L. Lin, S. Vessella, J-N. Wang, Size estimates of the inverse inclusion problem for the shallow shell equation, SIAM J. Math. Anal. 45 (2013), pp. 88–100. (Link)

• F. Cakoni, M. Di Cristo, J. Sun, A multistep gap functional method for the inverse problem in multilayered medium, Complex Var. Elliptic Equ. 57 (2012), pp. 261–276. (Link)

• M. Di Cristo, S. Vessella, Stability Analysis of an Inverse Parabolic Problem with Discon- tinuous Variable Coefficient, Proc. Roy. Soc. Edinburgh Sect. A 141 (2011) pp. 975–999. (Link)

• M. Di Cristo, S. Vessella, Stable Determination of  the Discontinuous Conductivity Coefficient of a Parabolic Equation, SIAM J. Math. Anal. 42 (2010) pp. 183-217. (Link)

• J. Fan, M. Di Cristo, Y. Jiang, G. Nakamura, Inverse viscosity problem for the Navier-Stokes equation, J. Math Anal. Appl. 365 (2010) pp. 750-757. (Link)

• M. Di Cristo, D. Guidetti, A. Lorenzi, Abstract parabolic equations with applications to problems in cylindrical space domains, Adv. Diff. Eq. 15 (2010), pp. 1–42. (Link)

• M. Di Cristo, Stability estimates in the inverse transmission scattering problem, Inverse Probl. Imaging 3 (2009) pp. 551–565. (Link)

• Y. Lei, M. Di Cristo, G. Nakamura, Size Estimates in Thermal Imaging, Appl. Anal. 88 (2009), pp. 831–846. (Link)

• M. Di Cristo,  J. Sun, An inverse scattering problem for a partially coated buried object, Inverse Problems 22 (2006) pp. 2331-2350. (Link)

• M. Di Cristo, L. Rondi, Examples of exponential instability for inverse inclusion and scattering problem, Inverse Problems 19 (2003), pp. 685-701.  (Link)
  
  

Education Profile

Phd University of Milano

Professional Profile

Assistant Professor

Scientific and Professional Memberships

Associated member of CNR (Italian national research council)

Affiliations

Politecnico di Milano, Italy