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Global Strassen-type theorems for iterated Brownian motions

✍ Scribed by Endre Csáki; Miklós Csörgő; Antónia Földes; Pál Révész


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
806 KB
Volume
59
Category
Article
ISSN
0304-4149

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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