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Contribution Details
| Type | Journal Article |
| Scope | Discipline-based scholarship |
| Title | Sobolev spaces on non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions |
| Organization Unit | |
| Authors |
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| Item Subtype | Original Work |
| Refereed | Yes |
| Status | Published in final form |
| Language |
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| Journal Title | Mathematische Nachrichten |
| Publisher | Wiley-Blackwell Publishing, Inc. |
| Geographical Reach | international |
| ISSN | 0025-584X |
| Volume | 224 |
| Number | 1 |
| Page Range | 75 - 104 |
| Date | 2001 |
| Abstract Text | 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. |
| Official URL | http://onlinelibrary.wiley.com/doi/10.1002/1522-2616%28200104%29224:1%3C75::AID-MANA75%3E3.0.CO;2-N/abstract |
| Digital Object Identifier | 10.1002/1522-2616(200104)224:1<75::AID-MANA75>3.0.CO;2-N |
| Other Identification Number | merlin-id:4433 |
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