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Dimension-Free Harnack Inequality and its Applications

✍ Scribed by Feng-Yu Wang


Book ID
107375962
Publisher
Higher Education Press and Springer
Year
2006
Tongue
English
Weight
336 KB
Volume
1
Category
Article
ISSN
1673-3452

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Harnack inequalities on manifolds with b
✍ Feng-Yu Wang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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 ΞΌ and