2 papers
math.AP2025
Nonlinear Fisher information, corresponding functional inequalities and applications
Tomasz Cieślak, Kentaro Fujie, Tatsuya Hosono
We study the evolution of the nonlinear version of the Fisher information along the quasilinear heat equation. We also provide a nonlinear version of a recent functional inequality…
math.AP2025
A functional inequality between Hessians in spaces with non-zero curvature
Tomasz Cieślak, Michał Gaczkowski, Wojciech Kryński
A version of the recent functional inequality between the Hessians of the square root and the logarithm of positive functions is proven in spaces with non-zero curvature.