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arXiv:2307.11219 [math.AP]AbstractReferencesReviewsResources

Approximation of functions on a compact set by solutions of elliptic equations. Quantitative results

Grigori Rozenblum, Nikolai Shirokov

Published 2023-07-20Version 1

We establish that a generalized H\"{o}lder continuous function on an $(m-2)$-Ahlfors regular compact set in $\mathbb{R}^m$ can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function.

Categories: math.AP, math.CA
Subjects: 41A30, 35J15, 41A25
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