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Gradient Estimates and Applications for Neumann Semigroup on Narrow Strip

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.

preprint2014arXivOpen access
Feng-Yu Wang
math.PR
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Feng-Yu Wang

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