4 papers
Stationary kinetic Krylov-Safonov estimates in space dimension one
Yuzhe Zhu
We prove interior Hölder regularity for solutions of the stationary kinetic Fokker-Planck equation in non-divergence form in space dimension one. The estimate is independent of any…
Fisher information for the multi-species Landau system
Yuzhe Zhu
We consider the Fisher information for spatially homogeneous multi-species Landau system. We show that the mass-weighted Fisher information is monotone decreasing in time along the…
Sharp boundary regularity properties for hypoelliptic kinetic equations
Yuzhe Zhu
We establish sharp boundary regularity results for solutions to kinetic Fokker-Planck equations under prescribed inflow boundary conditions, providing precise quantification of the…
On the Fermi-Dirac-type Fisher information
Yuzhe Zhu
We consider kinetic models for Fermi-Dirac-like particles obeying the exclusion principle. A generalized notion of Fisher information, tailored to kinetic equations of Fermi-Dirac-…