Timeline for Maximum principle of fractional Laplacian
Current License: CC BY-SA 4.0
13 events
when toggle format | what | by | license | comment | |
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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
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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
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Feb 14, 2021 at 20:41 | history | edited | GabS | CC BY-SA 4.0 |
added 88 characters in body; edited tags
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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.
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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 |