6533b85afe1ef96bd12b8a96
RESEARCH PRODUCT
On the fusion problem for degenerate elliptic equations
Pekka KoskelaTero KilpeläinenOlli Martiosubject
FusionPure mathematicsPartial differential equationApplied Mathematics010102 general mathematicsDegenerate energy levelsMathematical analysisMathematical statistics01 natural sciences010104 statistics & probabilitySingularityEuclidean domain0101 mathematicsAnalysisMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-01-01 | Communications in Partial Differential Equations |