Timeline for Existence of an extension operator $E: W_0^{s,p}(\Omega)\rightarrow W^{s,p}(\mathbb{R}^d)$?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 7 at 17:13 | comment | added | Perelman | yes sure, I added further specification to my question. | |
| Apr 7 at 16:48 | comment | added | Liding Yao | @Perelman So what is the definition of $W^{s,p}$ and Gagliardo seminorm? I cannot give a decent answer without knowing what info you have / don't have. Say what definition you are using in the question side because under some definitions it needs a short proof, while others don't. | |
| Apr 7 at 16:34 | comment | added | Perelman | I dont see how thats the case if $s\in(0,1)$, since for the Gagliardo seminorm $|\cdot|_{s,p, \Omega}$ we have $|u|_{s,p,\Omega}<|Eu|_{s,p,\mathbb{R}^d}$ | |
| Apr 7 at 15:53 | history | answered | Liding Yao | CC BY-SA 4.0 |