Work

Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations

Year: 2025

Type: article

Abstract: We present global Schauder type estimates in all variables and unique solvability results in kinetic Hölder spaces for kinetic Kolmogorov-Fokker-Planck (KFP) equations. The leading coefficients are Hölder continuous in the x , v variables and are merely measurable in the temporal variable. Our proof is inspired by Campanato’s approach to Schauder estimates and does not rely on the estimates of the fundamental solution of the KFP operator.

Source: Advanced Nonlinear Studies

DOI: 10.1515/ans-2023-0167

Authors: Hongjie Dong, Timur Yastrzhembskiy

Institutions: Brown University, University of Wisconsin–Madison

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,469

Funders: National Science Foundation, Simons Foundation