Buckley, Stephen M. and Koskela, Pekka
On the fusion problem for degenerate elliptic equations II.
Commentationes Mathematicae Universitatis Carolinae, 40 (1).
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.
||A-harmonic function, Hausdorff measure, Fusion problem.
||Science & Engineering > Mathematics & Statistics
Prof. Stephen Buckley
||02 Nov 2009 10:07
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||Commentationes Mathematicae Universitatis Carolinae
||Faculty of Mathematics and Physics of Charles University, Prague, Czech Republic
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