Kernel estimates for nonautonomous Kolmogorov equations with potential term

2014/01/10 by Markus Kunze, Kunze, Markus, Luca Lorenzi +3
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.1401.2262

arxiv created 2014/01/10 · openalex publication_date 2014/01/10 · arxiv updated 2014/01/13 · openalex created_date 2022/10/01 · 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 and a possibly unbounded potential term.

Related

• Kernel estimates for nonautonomous Kolmogorov equations
• On the estimates of the derivatives of solutions to nonautonomous Kolmogorov equations and their consequences
• On estimates of solutions of Fokker--Planck--Kolmogorov equations with potential terms and non uniformly elliptic diffusion matrices
• Nonautonomous Kolmogorov equations in the whole space: a survey on recent results
• Nash estimates and upper bounds for non-homogeneous Kolmogorov equations