Timeline for Bochner's formula for fractional Laplacian
Current License: CC BY-SA 4.0
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| Mar 24, 2021 at 11:03 | comment | added | Mateusz Kwaśnicki | According to Nicola Garofalo's Fractional thoughts, this is not known. See the end of Section 20 in arXiv:1712.03347. This may have changed recently, though, as Nicola Garofalo ends this section with "We plan to come back to these questions in future works." :-) | |
| Mar 24, 2021 at 10:53 | comment | added | leo monsaingeon | The case of manifolds would also be interesting, when the classical Bochner formula also has a correction taking into account the Ricci curvature. In fact I realize now that I don't even know if PDE formulations (integral representations?) of fractional operators are well studied in manifolds (although the general theory of Lévy processes must cover this case, I presume) | |
| Mar 24, 2021 at 10:36 | history | asked | Zac | CC BY-SA 4.0 |