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Harnack and HWI inequalities on infinite-dimensional spaces

โœ Scribed by Jing Hai Shao


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
224 KB
Volume
27
Category
Article
ISSN
1439-7617

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Harnack inequalities on manifolds with b
โœ Feng-Yu Wang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 215 KB

On a large class of Riemannian manifolds with boundary, some dimension-free Harnack inequalities for the Neumann semigroup are proved to be equivalent to the convexity of the boundary and a curvature condition. In particular, for p t (x, y) the Neumann heat kernel w.r.t. a volume type measure ฮผ and