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arXiv · 2108.03139

Explicit characterisation of the fractional power spaces of the Dirichlet Laplacian and Stokes operators

Karol W. Hajduk·James C. Robinson
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Abstract

We identify explicitly the fractional power spaces for the $L^2$ Dirichlet Laplacian and Dirichlet Stokes operators using the theory of real interpolation. The results are not new, but we hope that our arguments are relatively accessible.

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Karol W. Hajduk, James C. Robinson. 2021-08-06. Explicit characterisation of the fractional power spaces of the Dirichlet Laplacian and Stokes operators. https://arxiv.org/abs/2108.03139

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