Comparison of potential theoretic properties of rough domains

ResearchWorks/Manakin Repository

Search ResearchWorks


Advanced Search

Browse

My Account

Statistics

Related Information

Comparison of potential theoretic properties of rough domains

Show full item record

Title: Comparison of potential theoretic properties of rough domains
Author: Burdzy, Krzysztof; Chen, Zhen-Qing
Abstract: We discuss the relationships between the notion of intrinsic ultracontractivity, parabolic Harnack principle, compactness of the 1-resolvent of the Neumann Laplacian, and non-trap property for Euclidean domains with finite Lebesgue measure. In particular, we give an answer to an open problem raised by Davies and Simon in 1984 about the possible relationship between intrinsic ultracontractivity for the Dirichlet Laplacian in a domain D and compactness of the 1-resolvent of the Neumann Laplacian in D.
URI: http://hdl.handle.net/1773/2139

Files in this item

Files Size Format View
iutraps.pdf 143.1Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record