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Mar 29, 2021 at 11:50 history edited Kashif CC BY-SA 4.0
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Mar 29, 2021 at 11:49 comment added Kashif Added edits to the question to give more detail.
Mar 29, 2021 at 11:41 history edited YCor
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Mar 29, 2021 at 11:37 history edited Kashif CC BY-SA 4.0
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Mar 29, 2021 at 8:08 comment added Pietro Majer Why not $C^1_b(\Omega)$? (=bounded functions on the open set $\Omega$ with continuous bounded partial derivatives)
Mar 29, 2021 at 4:30 comment added Kashif Just a real valued domain.
Mar 29, 2021 at 4:18 comment added Nate Eldredge On what kind of domain? Sobolev embedding should say that an appropriate Sobolev space would do the trick. As a trivial example, on an interval $I \subset \mathbb{R}$, a function in $H^1(I)$ is bounded (even absolutely continuous), so a function in $H^2(I)$ has bounded derivative (and is even $C^1$).
Mar 29, 2021 at 3:28 review Close votes
Apr 16, 2021 at 9:05
Mar 29, 2021 at 2:56 answer added user177826 timeline score: 2
Mar 29, 2021 at 2:42 history asked Kashif CC BY-SA 4.0