Mikhail Isaev

Ph.D. in Applied Mathematics
PhD thesis effectuated under the supervision of Roman Novikov

CMAP, Ecole Polytechnique
Route de Saclay, 91128 Palaiseau
Phone: +33 770 45 18 59
E-mail: isaev.m.i at gmail.com

Curriculum Vitae

Research Interests

Partial differential equations, inverse problems, functional analysis, asymptotic analysis, combinatorics.

Publications and Preprints

  1. Stability estimates for determination of potential from the impedance boundary map. St. Petersburg Mathematical Journal, Vol. 25, 2014, 23–41 - joint with R.G. Novikov [printed version], [preprint]
  2. Exponential instability in the inverse scattering problem on the energy interval. Functional Analysis and Its Applications, Vol. 47(3), 2013, 187–194 [printed version] [preprint]
  3. New global stability estimates for monochromatic inverse acoustic scattering. SIAM Journal on Mathematical Analysis, Vol. 45(3), 2013, 1495–1504 - joint with R.G. Novikov [printed version], [preprint]
  4. Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions. Journal of Mathematics, Article ID 318154, 2013, 10 p.; DOI:10.1155/2013/318154 [printed version] [preprint]
  5. Reconstruction of a potential from the impedance boundary map. Eurasian Journal of Mathematical and Computer Applications, Vol. 1(1), 2013, 5–28 - joint with R.G. Novikov [preprint]
  6. Instability in the Gel’fand inverse problem at high energies. Applicable Analysis, Vol. 92, No. 11, 2013, 2262–2274 [printed version] [preprint]
  7. Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions. J. of Inverse and Ill-posed Probl., Vol. 20(3), 2012, 313–325 - joint with R.G. Novikov [printed version] [preprint]
  8. Exponential instability in the Gel'fand inverse problem on the energy intervals. J. Inverse Ill-Posed Probl., Vol. 19(3), 2011, 453–473 [printed version] [preprint]
  9. Asymptotic enumeration of eulerian orientations for graphs with strong mixing properties. Journal of Applied and Industrial Mathematics, Vol. 20, No. 6, 2013, 40–58 - joint with K.V. Isaeva [preprint]
  10. On the class of graphs with strong mixing properties. Proceedings of Moscow Institute of Physics and Technology, Vol. 5, No. 6, 2013, 44–54 - joint with K.V. Isaeva [preprint]
  11. Asymptotic enumeration of eulerian circuits for graphs with strong mixing properties. Izv.: Mathematics, Vol. 77(6), 2013, 1105–1129 [printed version] [preprint]
  12. Asymptotic behaviour of the number of eulerian orientations of graphs. Mathematical Notes, Vol. 93, Iss. 5-6, 2013, 816–829 [printed version] [preprint]
  13. Asymptotic behaviour of the number of eulerian circuits. Electronic Journal of Combinatorics, V.18(1), Paper No. 219, 2011, 35p. [printed version]

Teaching