Research Interests

Denis R. Akhmetov is interested in

• Applications of the qualitative theory of Partial Differential Equations to problems
  of mathematical physics

• Regularizing a nonlinear integroparabolic Fokker-Planck equation

• Singularly perturbed problems

• Qualitative theory of initial-boundary value problems for parabolic equations:
  necessary and sufficient conditions for solvability,
  exact coercive estimates in different norms,
  L1-norms estimates for derivatives,
  total variation estimates,
  problems without compatibility conditions between initial and boundary data