Intrinsic Taylor formula for Kolmogorov-type homogeneous groups
Analysis of PDEs
2016-10-06 v1
Abstract
We consider a class of ultra-parabolic Kolmogorov-type operators satisfying the Hormander's condition. We prove an intrinsic Taylor formula with global and local bounds for the remainder given in terms of the norm in the homogeneous Lie group naturally associated to the differential operator.
Keywords
Cite
@article{arxiv.1501.03050,
title = {Intrinsic Taylor formula for Kolmogorov-type homogeneous groups},
author = {Stefano Pagliarani and Andrea Pascucci and Michele Pignotti},
journal= {arXiv preprint arXiv:1501.03050},
year = {2016}
}