Timeline for Traces of Sobolev spaces
Current License: CC BY-SA 4.0
10 events
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| Feb 8, 2019 at 0:26 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
deleted 103 characters in body; edited tags
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| Feb 7, 2019 at 16:20 | vote | accept | Piotr Hajlasz | ||
| Feb 7, 2019 at 16:20 | comment | added | Piotr Hajlasz | @PedroLauridsenRibeiro Theroem 9.4 is about characterization of traces in terms of fractional Sobolev spaces. $W^{1,n-1}$ is not a fractional Sobolev space and the only question is to show that it embeds to a suitable fractional Sobolev space. Moreover the Theorem 9.4 applies to when $p=2$ only. Note that here $p-n>2$. Therefore Theorem 9.4 is not relevant here. But thank you for the reference. I will certainly look at it more carefully. Looks like a great book that I wan to add to my library. | |
| Feb 7, 2019 at 15:39 | comment | added | Pedro Lauridsen Ribeiro | For $L^2$ Sobolev spaces, a reasonably elementary Fourier-analytic proof may be found in J.L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, Volume 1 (Springer-Verlag, 1972), see Theorem 9.4, pages 41-43. It is still one of the best expositions on the subject. | |
| Feb 7, 2019 at 0:26 | answer | added | Piotr Hajlasz | timeline score: 5 | |
| Jun 24, 2018 at 2:25 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
added 103 characters in body
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| Mar 29, 2018 at 17:13 | history | edited | Piotr Hajlasz | CC BY-SA 3.0 |
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| S Mar 10, 2018 at 22:59 | history | suggested | Ali Taghavi |
I add two tags.
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| Mar 10, 2018 at 22:54 | review | Suggested edits | |||
| S Mar 10, 2018 at 22:59 | |||||
| Mar 10, 2018 at 19:39 | history | asked | Piotr Hajlasz | CC BY-SA 3.0 |