Gradient Estimates and Applications for Neumann Semigroup on Narrow Strip
Probability
2014-03-18 v1
Abstract
By using local and global versions of Bismut type derivative formulas, gradient estimates are derived for the Neumann semigroup on a narrow strip. Applications to functional/cost inequalities and heat kernel estimates are presented. Since the narrow strip we consider is non-convex with zero injectivity radius, and does not satisfy the volume doubling condition, existing results in the literature do not apply.
Keywords
Cite
@article{arxiv.1403.3890,
title = {Gradient Estimates and Applications for Neumann Semigroup on Narrow Strip},
author = {Feng-Yu Wang},
journal= {arXiv preprint arXiv:1403.3890},
year = {2014}
}
Comments
20 pages