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Keywords:
$\Cal A$-harmonic function; Hausdorff measure; Fusion problem
$\Cal A$-harmonic function; Hausdorff measure; Fusion problem
Summary:
Let $F$ be a relatively closed subset of a Euclidean domain $\Omega$. We investigate when solutions $u$ to certain elliptic equations on $\Omega\setminus F$ are restrictions of solutions on all of $\Omega$. Specifically, we show that if $\partial F$ is not too large, and $u$ has a suitable decay rate near $F$, then $u$ can be so extended.
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