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arXiv · 1906.06190

$H^{s,p}$ regularity theory for a class of nonlocal elliptic equations

Simon Nowak
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Abstract

In this paper, we study the regularity of weak solutions to a class of nonlocal elliptic equations in Bessel potential spaces $H^{s,p}$. Our main results can be seen as an extension of the well-known $W^{1,p}$ regularity theory for local second-order elliptic equations in divergence form to the nonlocal setting.

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Simon Nowak. 2019-06-14. $H^{s,p}$ regularity theory for a class of nonlocal elliptic equations. https://arxiv.org/abs/1906.06190

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