On the smoothness of solutions to elliptic equations in domains with Hölder boundary

I. V. Tsylin

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arXiv · 1605.02788

On the smoothness of solutions to elliptic equations in domains with Hölder boundary

I. V. Tsylin

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Abstract

The dependence of the smoothness of variational solutions to the first boundary value problems for second order elliptic operators are studied. The results use Sobolev-Slobodetskii and Nikolskii-Besov spaces and their properties. Methods are based on real interpolation technique and generalization of Savaré-Nirenberg difference quotient technique.

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I. V. Tsylin. 2016-05-09. On the smoothness of solutions to elliptic equations in domains with Hölder boundary. https://arxiv.org/abs/1605.02788

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