Timeline for Spectral fractional Laplacian of power-function $(-\Delta)^s x^{\alpha}$ in $(0,1) \subset \mathbb R$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Mar 24, 2021 at 11:05 | history | bounty ended | CommunityBot | ||
| S Mar 24, 2021 at 11:05 | history | notice removed | CommunityBot | ||
| Mar 16, 2021 at 13:44 | comment | added | Carlo Beenakker | the point is that it may not exist (at least not for $\alpha>1$) | |
| Mar 16, 2021 at 13:39 | comment | added | user173196 | @CarloBeenakker Thanks! But (unfortunately) I need to consider the Neumann fractional Laplacian | |
| Mar 16, 2021 at 12:02 | comment | added | Carlo Beenakker | the fact that the basis function $\cos(\pi nx)$ do not vanish at the end points of your interval creates difficulties in the definition of the fractional Laplacian; see page 18 of arXiv:1810.07028 --- Dirichlet boundary conditions are preferred to avoid these difficulties. | |
| S Mar 16, 2021 at 10:03 | history | bounty started | user173196 | ||
| S Mar 16, 2021 at 10:03 | history | notice added | user173196 | Authoritative reference needed | |
| Mar 12, 2021 at 16:08 | history | edited | user173196 | CC BY-SA 4.0 |
added 194 characters in body
|
| Mar 11, 2021 at 18:56 | history | edited | user173196 | CC BY-SA 4.0 |
edited title
|
| Mar 11, 2021 at 12:46 | history | asked | user173196 | CC BY-SA 4.0 |