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On the fusion problem for degenerate elliptic equations II

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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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.

Keywords:A-harmonic function, Hausdorff measure, Fusion problem.
Subjects:Science & Engineering > Mathematics
ID Code:1621
Deposited By:Prof. Stephen Buckley
Deposited On: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
URL:http://www.karlin.mff.cuni.cz/cmuc/cmucemis/cmucemis.html

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