Timeline for Domain of the fractional Laplacian operator
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2021 at 22:27 | comment | added | Mateusz Kwaśnicki | Well-defined in what sense? As a distribution — sure it is! As a pure function — no, even if $u \in L^2$ (in this case $u$ is in the domain of the quadratic form associated to $(-\Delta)^s$). My guess is that in general, $u$ is in the homogeneous Sobolev space $\dot H^s$, and hence $(-\Delta)^u$ is in the negative Sobolev space $\dot H^{-s}$; but I have never worked with homogeneous Sobolev spaces (and the definitions vary, I believe), so I might be wrong here. | |
| Feb 4, 2021 at 20:27 | answer | added | Bazin | timeline score: 2 | |
| Feb 4, 2021 at 19:13 | history | edited | Jay | CC BY-SA 4.0 |
added 193 characters in body
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| Feb 4, 2021 at 19:05 | history | asked | Jay | CC BY-SA 4.0 |