Comparison of potential theoretic properties of rough domains
| dc.contributor.author | Burdzy, Krzysztof | |
| dc.contributor.author | Chen, Zhen-Qing | |
| dc.date.accessioned | 2005-10-17T17:36:31Z | |
| dc.date.available | 2005-10-17T17:36:31Z | |
| dc.date.issued | 2005 | |
| dc.description.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. | en |
| dc.description.sponsorship | Research partially supported by National Science Foundation (NSF) grant DMS-0303310. | en |
| dc.format.extent | 146602 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1773/2139 | |
| dc.language.iso | en_US | |
| dc.subject | Neumann Laplacian | en |
| dc.subject | Trap domain | en |
| dc.subject | Intrinsic ultracontractivity | en |
| dc.subject | Parabolic Harnack principle | en |
| dc.title | Comparison of potential theoretic properties of rough domains | en |
| dc.type | Article | en |