Timeline for Fractional Laplacian and support
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 31, 2021 at 11:29 | comment | added | Mateusz Kwaśnicki | One reference is Fall–Felli, Unique continuation property and local asymptotics of solutions to fractional elliptic equations, Comm. PDE 39(2) (2014): 354–397, DOI:10.1080/03605302.2013.825918. This uses the harmonic extension technique, but I remember seeing this in an earlier work, proved with direct methods. I think Krylov's paper DOI:10.1016/j.jfa.2019.02.012 is something one should check. Regarding estimating the size of $u$ or $(-\Delta)^s u$ — I do not know. | |
| Mar 31, 2021 at 11:26 | comment | added | Lao | What about the case where $u$ decays well on the support; for example, $u \sim x^{\alpha}$, with $\alpha$ big enough near the support? | |
| Mar 31, 2021 at 11:12 | comment | added | Lao | Thanks! Yes, what is the reference? If the result is not true, can we estimate the size of $u$ outside the ball? | |
| Mar 31, 2021 at 10:51 | history | answered | Mateusz Kwaśnicki | CC BY-SA 4.0 |