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arXiv:2108.03139 [math.FA]AbstractReferencesReviewsResources

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

Karol W. Hajduk, James C. Robinson

Published 2021-08-06Version 1

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.

Comments: 10 pages. Most of this previously appeared as part of arXiv:1904.03337v1, which was subsequently split for publication
Categories: math.FA, math.AP
Subjects: 47A05, 47F10, 35Q30, 46B70, 47A57, 76D05
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