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Buckley, Stephen M. and Koskela, Pekka (1999) On the fusion problem for degenerate elliptic equations II. Commentationes Mathematicae Universitatis Carolinae, 40 (1). pp. 1-6. ISSN 1213-7243
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Official URL: http://www.karlin.mff.cuni.cz/cmuc/cmucemis/cmucem...
Abstract
Let F be a relatively closed subset of a Euclidean domain Ω. We investigate when solutions u to certain elliptic equations on Ω/F are restrictions of solutions on all
of Ω. Specifically, we show that if ∂F is not too large, and u has a suitable decay rate near F, then u can be so extended.
| Item Type: | Article |
|---|---|
| Keywords: | A-harmonic function, Hausdorff measure, Fusion problem. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1621 |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 02 Nov 2009 10:07 |
| Journal or Publication Title: | Commentationes Mathematicae Universitatis Carolinae |
| Publisher: | Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1621 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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