Коротяев Евгений Леонидович, Korotyaev Evgeny

Профессор, доктор физико-математических наук, Professor, Doctor of Science in Mathematics,
e-mail: korotyaev@gmail.com
Оснвные научные направления, Research topics:
  1. 1D direct and inverse spectral theory (Schrodinger operator with periodic potentials, Sturm-Liouville problem on finite intervals, difference operators, Schrodinger operators with matrix-valued potentials, perturbed harmonic oscillator, Jacobi matrices).
  2. Integrable systems (KdV, Camassa-Holm and non-linear Schr\"odinger equation), a priori estimates for integrable systems, action-angle variables.
  3. Resonances( inverse resonance scattering, stability of resonances, properties of resonances for different spectral problems)
  4. Geometric Analysis (harmonic and functional analysis, geometric function theory, the Lewner equation for the conformal mapping associated with quasimomentum).
  5. Scattering theory (few body systems, few body systems in external fields, few body systems with interaction periodic in time)
  6. Schrodinger operators with periodic potentials, periodic media
  7. trace formulas and a priori estimates in spectral theory
  8. direct and inverse problems for multidimensional Schr\"odinger operators on the lattice.
  9. Schrodinger operators on graphs, nano-media
Список трудов, List of publications

Е.Л.Коротяев, 20 февраля 2012