List questions from sobolev-spaces

Published on 08 Apr 2026 - 23:28

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Dual space of a closed subspace of a Hilbert space

Published on 28 Mar 2015 - 2:59

192

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Prove weak derivative commutes with difference quotient

Published on 28 Mar 2015 - 17:23

231

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$\||f|^{2}f\|_{H^{s}}\leq C \|f\|^{2}_{L^{\infty}} \|f\|_{H^{s}}$ for $s>0, f\in H^{s}(\mathbb R)$?

Published on 29 Mar 2015 - 7:32

1.2k

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Poincare-like inequality

Published on 29 Mar 2015 - 21:27

242

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Bounded operator from $H^1$ to $L^2$

Published on 09 Apr 2026 - 1:50

560

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Negative index Sobolev spaces, properties

Published on 03 Apr 2026 - 7:18

709

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Prove difference quotient converges to weak derivative in $L^p$

Published on 30 Mar 2015 - 15:19

86

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What kind of functions lie in $L^2(\Omega )-H^{1/2}(\Omega )$?

Published on 08 Apr 2026 - 17:42

156

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On the weak closedness of a closed ball with fixed $L^2$-norm in a periodic Sobolev space

Published on 01 Apr 2026 - 10:08

328

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$L^{\infty}$ estimate on the boundary by means of Sobolev norms in the interior

Published on 25 Mar 2026 - 22:05

818

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Examples of Sobolev Spaces

Published on 04 Apr 2015 - 12:38

160

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Complicated convergence of nonlinear term

Published on 04 Apr 2015 - 15:57

782

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How to prove Poincaré-like inequality for the integral over the boundary?

Published on 04 Apr 2015 - 21:41

584

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Trace operator on $W^{1,\infty}$

Published on 06 Apr 2015 - 13:17

List Question

An application of integration by parts in Sobolev Spaces

Dual space of a closed subspace of a Hilbert space

Prove weak derivative commutes with difference quotient

$\||f|^{2}f\|_{H^{s}}\leq C \|f\|^{2}_{L^{\infty}} \|f\|_{H^{s}}$ for $s>0, f\in H^{s}(\mathbb R)$?

Poincare-like inequality

Bounded operator from $H^1$ to $L^2$

Negative index Sobolev spaces, properties

Prove difference quotient converges to weak derivative in $L^p$

What kind of functions lie in $L^2(\Omega )-H^{1/2}(\Omega )$?

On the weak closedness of a closed ball with fixed $L^2$-norm in a periodic Sobolev space

$L^{\infty}$ estimate on the boundary by means of Sobolev norms in the interior

Examples of Sobolev Spaces

Complicated convergence of nonlinear term

How to prove Poincaré-like inequality for the integral over the boundary?

Trace operator on $W^{1,\infty}$

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