Kernel estimates for nonautonomous Kolmogorov equations

2013/08/08 by Markus Kunze, M. Kunze, L. Lorenzi +6
Engineering · Mathematics · #35K08 #35K10 #37L40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations #advanced mathematical theories #math.AP #msc:35K08 #msc:35K10 #msc:37L40

paper · pdf · doi:10.48550/arxiv.1308.1926

arxiv created 2013/08/08 · openalex publication_date 2013/08/08 · arxiv updated 2013/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using time dependent Lyapunov functions, we prove pointwise upper bounds for the heat kernels of some nonautonomous Kolmogorov operators with possibly unbounded drift and diffusion coefficients.

Related

• Kernel estimates for nonautonomous Kolmogorov equations with potential term
• On the estimates of the derivatives of solutions to nonautonomous Kolmogorov equations and their consequences
• Smoothing effects and maximal Hölder regularity for non-autonomous Kolmogorov equations in infinite dimension
• On the gradient estimates for evolution operators associated to Kolmogorov operators
• Nash estimates and upper bounds for non-homogeneous Kolmogorov equations