List questions from weak-derivatives

Published on 25 Mar 2026 - 3:04

106

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Showing an integral with respect to some Borel Measure is finite.

Published on 23 Feb 2026 - 10:05

64

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What is the average value of $x + \sqrt{2}\, y$ over all integer points in the ellipse $x^2 + 2y^2 < N$?

Published on 23 Jun 2019 - 17:50

249

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A question about distributions and Lp spaces

Published on 28 Jun 2019 - 12:34

123

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Hörmander's proof of: $ u, f \in C(\Omega) $, $ D_j u = f $ in distribution sense $ \implies $ $ D_j u = f $ classically.

Published on 30 Jun 2019 - 14:21

824

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Weak and classical derivatives: an overview

Published on 16 Jul 2019 - 10:53

266

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A.e. differentiable weak derivative

Published on 16 Jul 2019 - 18:55

167

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Nonnegativity of solution of $u_t=\Delta u+u$

Published on 31 Jul 2019 - 18:56

69

Views

Convolution between a distributional derivative and a measure

Published on 03 Aug 2019 - 16:16

276

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Weak derivative under the integral sign

Published on 05 Aug 2019 - 23:19

545

Views

Weak differentiability and polar coordinates

Published on 09 Aug 2019 - 10:28

105

Views

Differentiating a Distribution

Published on 09 Aug 2019 - 19:07

52

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Difference between $L^2$ and $L_{\sigma}^{2}$

Published on 25 Aug 2019 - 1:38

473

Views

Existence of higher order weak derivative implies existence of lower order if integrable (1 dim). Proof?

Published on 31 Aug 2019 - 21:12

298

Views

What is the Sobolev space of maps between surfaces?

Published on 01 Sep 2019 - 6:54

List Question

Properties of Functions in $W^{1,p}(\Omega)$ and Their Weak Derivatives

Showing an integral with respect to some Borel Measure is finite.

What is the average value of $x + \sqrt{2}\, y$ over all integer points in the ellipse $x^2 + 2y^2 < N$?

A question about distributions and Lp spaces

Hörmander's proof of: $ u, f \in C(\Omega) $, $ D_j u = f $ in distribution sense $ \implies $ $ D_j u = f $ classically.

Weak and classical derivatives: an overview

A.e. differentiable weak derivative

Nonnegativity of solution of $u_t=\Delta u+u$

Convolution between a distributional derivative and a measure

Weak derivative under the integral sign

Weak differentiability and polar coordinates

Differentiating a Distribution

Difference between $L^2$ and $L_{\sigma}^{2}$

Existence of higher order weak derivative implies existence of lower order if integrable (1 dim). Proof?

What is the Sobolev space of maps between surfaces?

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