Timeline for $|\partial $ as Fourier multiplier
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 1, 2022 at 23:39 | comment | added | Mr. Proof | @PieroD'Ancona I want to analyse the traveling wave solution of the ODE that will result from substituting the ansatz above. However, I do not know how to put the nonlinear term in terms of $varphi$ | |
| Sep 1, 2022 at 18:39 | comment | added | Piero D'Ancona | You can write $|\partial||u|^2=R\partial(u\overline{u})=2R\Re(\overline{u}\partial u)$, where $R$ is the Riesz transform. After this point, it depends on where you want to go | |
| Sep 1, 2022 at 15:02 | review | Close votes | |||
| Sep 16, 2022 at 3:02 | |||||
| Sep 1, 2022 at 14:48 | comment | added | LSpice | Do you mean "$\lvert\partial\rvert$" (rather than just "$\lvert\partial$") in the title? | |
| Sep 1, 2022 at 14:46 | comment | added | Daniele Tampieri | @CarloBeenakker, perhaps it is meant as a pseudodifferential operator. What I don't understand is where the function $f$ appears. | |
| Sep 1, 2022 at 14:40 | comment | added | Carlo Beenakker | what does the absolute value $|\partial_x|$ of a differential mean? | |
| Sep 1, 2022 at 14:35 | history | asked | Mr. Proof | CC BY-SA 4.0 |