Farkas, Walter; Jacob, Niels (2001). Sobolev spaces on non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions. Mathematische Nachrichten, 224(1):75-104.
Let Ω be a bounded domain with fractal boundary, for instance von Koch's snowflake domain. First we determine the range and the kernel of the trace on ∂Ω of Sobolev spaces of fractional order defined on Ω. This extends some earlier results of H. Wallin and J. Marschall Secondly we apply these results in studying Dirichlet forms related to subordinate reflecting diffusions in non–smooth domains.
Let Ω be a bounded domain with fractal boundary, for instance von Koch's snowflake domain. First we determine the range and the kernel of the trace on ∂Ω of Sobolev spaces of fractional order defined on Ω. This extends some earlier results of H. Wallin and J. Marschall Secondly we apply these results in studying Dirichlet forms related to subordinate reflecting diffusions in non–smooth domains.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 03 Faculty of Economics > Department of Banking and Finance |
| Dewey Decimal Classification: | 330 Economics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 20 Feb 2012 15:03 |
| Last Modified: | 30 Jul 2020 03:13 |
| Publisher: | Wiley-Blackwell Publishing, Inc. |
| ISSN: | 0025-584X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1002/1522-2616(200104)224:1<75::AID-MANA75>3.0.CO;2-N |
| Official URL: | http://onlinelibrary.wiley.com/doi/10.1002/1522-2616%28200104%29224:1%3C75::AID-MANA75%3E3.0.CO;2-N/abstract |
| Other Identification Number: | merlin-id:4433 |
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Farkas, Walter