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Dec 26, 2023 at 18:11 answer added Giorgio Metafune timeline score: 4
Dec 26, 2023 at 6:27 history edited MeS CC BY-SA 4.0
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Dec 26, 2023 at 5:57 comment added MeS Thank you for the comment. I think the elliptic regularity should imply that if $f\in D$ then also $f \in H^2_{loc}$ and on compact subsets we can use the Sobolev embedding. I edited my question to ask about embeddings on $\Omega$. For this I'm not sure the elliptic regularity works as we have no boundary condition and $D$ is a larger space than $H^2$
Dec 26, 2023 at 5:54 history edited MeS CC BY-SA 4.0
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Dec 26, 2023 at 5:38 history edited Willie Wong
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Dec 26, 2023 at 5:37 comment added Willie Wong Sobolev embedding + elliptic regularity (which allows you to pass from $D$ to $W^{2,2}$)?
S Dec 26, 2023 at 5:16 review First questions
Dec 26, 2023 at 8:13
S Dec 26, 2023 at 5:16 history asked MeS CC BY-SA 4.0