List questions from weak-derivatives

661

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Is there a generalization of Stokes theorem for forms with poles and distributions, as seen in physics?

Published on 23 Oct 2017 - 17:44

673

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Absolute value of a function in $W^{1,2}_0$?

Published on 23 Oct 2017 - 19:42

1.5k

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Absolutely continuous representative of Sobolev function

Published on 24 Feb 2026 - 0:22

43

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$\| u \|_{W^{k,p}(K)} \leq c$ for every $K \subset U$ implies $u \in W^{k,p}(U)$

Published on 10 Nov 2017 - 15:21

218

Views

weak derivatives on open subset implies weak derivatives on whole set

Published on 12 Nov 2017 - 7:08

95

Views

Weak derivative of a double series

Published on 14 Nov 2017 - 10:50

753

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Other versions of a weak Ito formula?

Published on 15 Nov 2017 - 9:26

555

Views

Unbounded function with integrable weak derivative

Published on 21 Nov 2017 - 9:56

188

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Continuous embedding of $W^{d,1}(\Omega)$ into $C(\overline{\Omega})$

Published on 28 Nov 2017 - 20:59

329

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Weak Derivative of function $\operatorname{sgn}(x_1) + \operatorname{sgn}(x_2)$

Published on 29 Nov 2017 - 9:49

565

Views

A continuously differentiable function is weakly differentiable

Published on 30 Nov 2017 - 14:06

668

Views

The characteristic function of a bounded open subset of $\mathbb{R}^{n}$ is not in $W^{1,1}(\mathbb{R}^{n})$

Published on 06 Dec 2017 - 18:28

932

Views

Weak convergence of weak derivatives.

Published on 21 Dec 2017 - 18:42

165

Views

Is this version of integration by parts formula true?

Published on 09 Jan 2018 - 18:53

689

Views

weak solution is classical solution

Published on 10 Jan 2018 - 16:13

List Question

Is there a generalization of Stokes theorem for forms with poles and distributions, as seen in physics?

Absolute value of a function in $W^{1,2}_0$?

Absolutely continuous representative of Sobolev function

$\| u \|_{W^{k,p}(K)} \leq c$ for every $K \subset U$ implies $u \in W^{k,p}(U)$

weak derivatives on open subset implies weak derivatives on whole set

Weak derivative of a double series

Other versions of a weak Ito formula?

Unbounded function with integrable weak derivative

Continuous embedding of $W^{d,1}(\Omega)$ into $C(\overline{\Omega})$

Weak Derivative of function $\operatorname{sgn}(x_1) + \operatorname{sgn}(x_2)$

A continuously differentiable function is weakly differentiable

The characteristic function of a bounded open subset of $\mathbb{R}^{n}$ is not in $W^{1,1}(\mathbb{R}^{n})$

Weak convergence of weak derivatives.

Is this version of integration by parts formula true?

weak solution is classical solution

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