List questions from sobolev-spaces

Published on 14 Apr 2026 - 0:45

136

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Show $u_n\rightharpoonup u$ in $W^{1,p}(a,b)\implies u_n\to u$ in $L^p(a,b)$

Published on 17 Apr 2026 - 4:43

48

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Proving a mapping is continuous using a subsequence argument

Published on 12 Apr 2026 - 5:25

3.2k

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Norm and scalar product of $H_0^1(\Omega)$

Published on 10 Apr 2026 - 16:47

807

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Commutativity of weak partial derivatives. Don't follow proof.

Published on 28 Mar 2026 - 10:16

53

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How $\boldsymbol 1_{\mathbb Q\cap [-2,2]}$ can be more regular that $\boldsymbol 1_{[0,1]}$?

Published on 17 Apr 2026 - 13:11

757

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Density of Lions-Magenes space in fractional Sobolev space on the boundary? (extension by zero)

Published on 13 Apr 2026 - 22:51

1.7k

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Help proving Leibniz rule for weak derivatives in Evans' PDEs.

Published on 28 Mar 2026 - 10:16

169

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Why is $(H^{s}(\Gamma))^{*}=H^{-s}(\Gamma)$?

Published on 12 Apr 2026 - 12:45

69

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Control higher derivatives of approximating sequence

Published on 09 Apr 2026 - 0:06

43

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Why $\frac{1}{2}\|\nabla u_n\|^2-\|h\|_{L^2}\|u\|_{L^2}\geq \gamma _3\|u_n\|^2_{W^{1,2}}-\gamma _4$

Published on 15 Apr 2026 - 9:07

143

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Estimate related to linear transport equation

Published on 25 Mar 2026 - 17:52

97

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Mixed derivative of a smooth function

Published on 13 Apr 2026 - 8:22

108

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Question about the action of $H^{-1}$

Published on 12 Apr 2026 - 8:45

77

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Proving inequality with $ \lim \inf$ in Sobolev space

Published on 11 Apr 2026 - 19:16

List Question

What is the natural inner product for space $H^{1}\otimes L^{2}$?

Show $u_n\rightharpoonup u$ in $W^{1,p}(a,b)\implies u_n\to u$ in $L^p(a,b)$

Proving a mapping is continuous using a subsequence argument

Norm and scalar product of $H_0^1(\Omega)$

Commutativity of weak partial derivatives. Don't follow proof.

How $\boldsymbol 1_{\mathbb Q\cap [-2,2]}$ can be more regular that $\boldsymbol 1_{[0,1]}$?

Density of Lions-Magenes space in fractional Sobolev space on the boundary? (extension by zero)

Help proving Leibniz rule for weak derivatives in Evans' PDEs.

Why is $(H^{s}(\Gamma))^{*}=H^{-s}(\Gamma)$?

Control higher derivatives of approximating sequence

Why $\frac{1}{2}\|\nabla u_n\|^2-\|h\|_{L^2}\|u\|_{L^2}\geq \gamma _3\|u_n\|^2_{W^{1,2}}-\gamma _4$

Estimate related to linear transport equation

Mixed derivative of a smooth function

Question about the action of $H^{-1}$

Proving inequality with $ \lim \inf$ in Sobolev space

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