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Feb 16, 2021 at 12:41 history edited Martin Sleziak CC BY-SA 4.0
edited body; edited tags; edited title
Feb 16, 2021 at 12:16 comment added YCor You might create the tag "fractional-laplacian", but "fractional" is a too imprecise tag.
Feb 16, 2021 at 12:15 history edited YCor
edited tags
Feb 14, 2021 at 20:41 history edited GabS CC BY-SA 4.0
added 88 characters in body; edited tags
Aug 27, 2019 at 14:59 vote accept GabS
Aug 26, 2019 at 22:29 answer added Mateusz Kwaśnicki timeline score: 1
Aug 24, 2019 at 9:06 comment added GabS If I am not wrong, I obtain that there exist a constant $C$ which depends on $\Omega$ whenever $\Omega$ is a unit ball, which is different from the Laplacian case.
Aug 23, 2019 at 9:49 comment added Mateusz Kwaśnicki If your domain is nice -- Lipschitz for example -- it is sufficient to assume $u$ is continuous inside the domain and bounded near the boundary.
Aug 22, 2019 at 21:31 comment added GabS If we suppose $u$ to be Holder continuous on $\mathbb R^N.$ I am aware of the notion of Poisson kernel.
Aug 22, 2019 at 20:56 comment added Mateusz Kwaśnicki Given some minimal regularity of $u$ — of course yes! After all, $u$ is given as an integral of $g$ against a (sub-)probability measure, the harmonic measure for $(-\Delta)^s$ (also called the $\alpha$-harmonic measure or the Poisson kernel for $(-\Delta)^s$).
S Aug 22, 2019 at 20:02 history suggested Ali Taghavi
I add a tag.
Aug 22, 2019 at 19:28 review Suggested edits
S Aug 22, 2019 at 20:02
Aug 22, 2019 at 15:44 history asked GabS CC BY-SA 4.0