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arXiv · 1012.1805

A remark on approximation of open sets with regular bounded ones

Dmitry Vorotnikov
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Abstract

We show that any open set in $\R^n$ is a union of an ascending sequence of bounded open sets with analytic boundary. This is just a technical result, which is probably known. We believe, however, that it can be useful for studing BVPs on irregular open sets.

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Dmitry Vorotnikov. 2010-12-08. A remark on approximation of open sets with regular bounded ones. https://arxiv.org/abs/1012.1805

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