Timeline for Bounding the norm of Sobolev extension operator
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 30, 2019 at 15:14 | comment | added | Liviu Nicolaescu | Look at Thm. 9.7 in Brezis' book Functional Analysis, Sobolev Speces ... and keep trak of the constants there. This should not be too hard since the proof is very well written. | |
| Oct 30, 2019 at 7:12 | comment | added | Piero D'Ancona | For a fixed open subset with Lipschitz boundary, the norm of the extension operator from $W^{1,p}(\Omega)$ depends only on $d$. As $\Omega$ varies, you should get dependence on its diameter and the Lipschitz constant on the boundary | |
| Oct 29, 2019 at 22:42 | history | asked | pseudocydonia | CC BY-SA 4.0 |