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Comparison theorems for Brownian motions on Riemannian manifolds and their applications

โœ Scribed by Kanji Ichihara


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
487 KB
Volume
24
Category
Article
ISSN
0047-259X

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Reflecting Brownian Motions and Comparis
โœ R.A. Carmona; W.I. Zheng ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 620 KB

We consider the challenging problem of Chavel's conjecture on the domain monotonicity of the fundamental solution of the Neumann problem. It says that if \(D \subset \tilde{D}\) are open convex domains and if \(p_{t}(x, y)\) and \(\tilde{p}_{t}(x, y)\) denote the corresponding parabolic heat kernels