Fractional Laplacians on ellipsoids
We show explicit formulas for the evaluation of (possibly higher-order) fractional Laplacians~$\Ds$ of some functions supported on ellipsoids. In particular, we derive the explicit expression of the torsion function and give examples of~$s$-harmonic functions. As an application, we infer that the w...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-03-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/mine.2021038?viewType=HTML |