3 papers
math.AP2024
Dissipation estimates of the Fisher information for the Landau equation
Sehyun Ji
We establish an a priori estimate for the dissipation of the Fisher information for the space-homogeneous Landau equation with very soft potentials. This work is motivated by the r…
math.AP2024
Bounds for the optimal constant of the Bakry-Ãmery criterion inequality on
Sehyun Ji
We prove upper and lower bounds on the optimal constant of the Bakry-Ãmery criterion for positive symmetric functions on the unit sphere , which also can be…
math.AP2024
Entropy dissipation estimates for the Landau equation with Coulomb potentials
Sehyun Ji
We prove a lower bound for the entropy dissipation of the Landau equation with Coulomb potentials by a weighted Lebesgue norm . In particular, we enhance the weight exp…