Timeline for Convolution mollification of $H^s$ functions uniformly in the unit ball of this sobolev space
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 29, 2021 at 6:57 | vote | accept | Ma Joad | ||
| Mar 28, 2021 at 21:05 | answer | added | Christian Remling | timeline score: 1 | |
| Mar 28, 2021 at 20:28 | comment | added | Nate Eldredge | Trivial comment: the operators $u \mapsto u \ast \phi_\epsilon$ are uniformly bounded by Young's inequality or the uniform boundedness principle. Hence they are equicontinuous and so converge uniformly on compact sets. Thus you get it whenever $H^s$ is compactly embedded in $L^2$. I don't recall offhand which values of $s$ make this true, though. | |
| Mar 28, 2021 at 19:44 | history | asked | Ma Joad | CC BY-SA 4.0 |