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