Timeline for Explicit expression for the fractional Laplacian of $1/(1+|x|^2)^s$
Current License: CC BY-SA 4.0
8 events
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| Jul 30, 2021 at 9:40 | vote | accept | Student | ||
| Jul 28, 2021 at 16:18 | comment | added | Student | Thanks for your reply, I apologize for not adding this before. I want a lower bound for the problem I am trying to solve. I work with the assumption that $n\geq 6s.$ I have been trying to use the integral representation for the fractional laplacian and the trouble comes when $|y|<2|x|$ because in the other case the integrand is positive. | |
| Jul 28, 2021 at 15:29 | comment | added | Mateusz Kwaśnicki | In a comment to my answer you asked for an upper bound for $(-\Delta)^s u$, while now you seem to be concerned with the lower bound. Which is correct? (The lower bound should work unless the dimension is too low; intuition suggests that one needs $n > 4s$, but I did not even try to check it rigorously.) | |
| Jul 28, 2021 at 14:52 | history | edited | Mateusz Kwaśnicki | CC BY-SA 4.0 |
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| Jul 28, 2021 at 14:23 | history | edited | YCor |
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| Jul 28, 2021 at 14:00 | history | edited | Student | CC BY-SA 4.0 |
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| Jul 26, 2021 at 17:02 | answer | added | Mateusz Kwaśnicki | timeline score: 4 | |
| Jul 26, 2021 at 16:51 | history | asked | Student | CC BY-SA 4.0 |