Timeline for Core for a Sobolev space
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Dec 17, 2022 at 21:21 | history | edited | Denis Serre | CC BY-SA 4.0 |
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| Dec 17, 2022 at 20:00 | answer | added | Piotr Hajlasz | timeline score: 5 | |
| Mar 26, 2021 at 1:40 | vote | accept | sharpe | ||
| Mar 22, 2021 at 21:15 | answer | added | Mateusz Kwaśnicki | timeline score: 2 | |
| Mar 16, 2021 at 12:29 | comment | added | sharpe | @Hannes Thank you for your helpful information. I will check the Maz'ya's book. | |
| Mar 16, 2021 at 8:50 | comment | added | Hannes | I think an example should be domains with outward cusps. In Maz'ya's "Sobolev spaces", in Ch. 1.1.6 he proves that $C_c^\infty(\overline D)$ is dense in $W^{1,2}(D)$ when $D$ admits a point $O \in D$ such that any ray starting from $O$ has a unique common point with $\partial D$. This should be true for domains with outward cusps. In Ch. 1.5.1, Example 2, there is a construction for such a cuspoidal domain which does not admit the desired extension operator. Maybe I am missing something. | |
| Mar 14, 2021 at 18:53 | history | edited | sharpe | CC BY-SA 4.0 |
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| Mar 14, 2021 at 16:53 | history | edited | sharpe | CC BY-SA 4.0 |
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| Mar 14, 2021 at 15:58 | history | asked | sharpe | CC BY-SA 4.0 |