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arXiv · 1403.3890

Gradient Estimates and Applications for Neumann Semigroup on Narrow Strip

Feng-Yu Wang
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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.

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Feng-Yu Wang. 2014-03-16. Gradient Estimates and Applications for Neumann Semigroup on Narrow Strip. https://arxiv.org/abs/1403.3890

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