Kernel estimates for nonautonomous Kolmogorov equations
M. Kunze, L. Lorenzi, A. Rhandi
TL;DR
This paper establishes pointwise upper bounds for heat kernels associated with nonautonomous Kolmogorov operators using time-dependent Lyapunov functions, addressing cases with unbounded coefficients.
Contribution
It introduces a novel method employing time-dependent Lyapunov functions to derive kernel estimates for complex nonautonomous operators.
Findings
Derived explicit upper bounds for heat kernels
Handled operators with unbounded drift and diffusion
Extended previous results to nonautonomous cases
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsadvanced mathematical theories · Numerical methods in inverse problems · Stability and Controllability of Differential Equations