4 papers · 1 filter
Well-posedness for the spatially inhomogeneous Fermi-Dirac-Fokker-Planck equation
Gayrat Toshpulatov
This paper is concerned with the spatially inhomogeneous Fermi-Dirac-Fokker-Planck equation posed on a classical kinetic phase space. The nonlinear factor appears both in…
Convergence to global equilibrium for the semiconductor Boltzmann equation
Gayrat Toshpulatov
The Boltzmann equation describing the transport of electrons in semiconductor devices with an external electrostatic potential is considered when the spatial variable is in a torus…
Sharp estimates for the Fourier transform of surface-carried measures and maximal operators associated with hypersurfaces in with vanishing Gaussian curvature
Isroil A. Ikromov, Gayrat Toshpulatov
In this paper, we study problems related to harmonic analysis on hypersurfaces in with zero Gaussian curvature and given as graphs of polynomial functions. We deriv…
Long time behavior of Fokker-Planck equations for bosons and fermions
Anton Arnold, Marlies Pirner, Gayrat Toshpulatov
This paper is concerned with space inhomogeneous quantum Fokker-Planck equations posed on a classical kinetic phase space. The nonlinear factor appears both in the tran…