List questions from distribution-theory

Published on 30 May 2017 - 8:15

58

Views

Proving $\nabla\cos(k\|x\|)=-k\sin(k\|x\|)\cdot \frac{x}{\|x\|}$ in $\mathcal{D}(\mathbb{R}^3)$

Published on 30 May 2017 - 12:33

781

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Radon measure, Riesz's theorem

Published on 30 May 2017 - 13:06

1.8k

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Riesz representation theorem in measure theory

Published on 26 Mar 2026 - 12:33

414

Views

Order of divergence in square of Dirac delta distribution

Published on 03 Apr 2026 - 0:22

92

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Solution to $u'=ru$ in distributional sense?

Published on 03 Jun 2017 - 8:18

196

Views

Proving $supp (D^\alpha \phi) \subseteq supp (\phi)$ for $\phi \in C^\infty$

Published on 03 Jun 2017 - 8:31

267

Views

Where am I making a mistake in following delta function integral?

Published on 03 Apr 2026 - 0:19

80

Views

Proving $\nabla\left\{\frac{1}{\|\cdot\|}\right\}=-\frac{1}{\|\cdot\|^3}x$ in $\mathcal{D}'(\mathbb{R}^3)$

Published on 04 Jun 2017 - 18:28

91

Views

Solving Functional Derivative

Published on 28 Mar 2026 - 8:17

25

Views

Extension $C^{k}_{c}(\mathbb{R}^n)$ to $C^{\infty}_{c}(\mathbb{R}^n)$

Published on 07 Jun 2017 - 15:32

834

Views

How to understand the definition of the support of a distribution?

Published on 10 Jun 2017 - 16:12

247

Views

Necessary condition for embedding of a homogeneous Sobolev space into the space of distributions

Published on 12 Jun 2017 - 13:30

47

Views

How can you extend distributions non uniquely to sobolev spaces

Published on 28 Mar 2026 - 21:57

314

Views

How to interpret $\delta(x\pm ct)$ as the solution to the wave equation?

Published on 16 Jun 2017 - 15:11

List Question

Fundamental solution of a linear differential operator.

Proving $\nabla\cos(k\|x\|)=-k\sin(k\|x\|)\cdot \frac{x}{\|x\|}$ in $\mathcal{D}(\mathbb{R}^3)$

Radon measure, Riesz's theorem

Riesz representation theorem in measure theory

Order of divergence in square of Dirac delta distribution

Solution to $u'=ru$ in distributional sense?

Proving $supp (D^\alpha \phi) \subseteq supp (\phi)$ for $\phi \in C^\infty$

Where am I making a mistake in following delta function integral?

Proving $\nabla\left\{\frac{1}{\|\cdot\|}\right\}=-\frac{1}{\|\cdot\|^3}x$ in $\mathcal{D}'(\mathbb{R}^3)$

Solving Functional Derivative

Extension $C^{k}_{c}(\mathbb{R}^n)$ to $C^{\infty}_{c}(\mathbb{R}^n)$

How to understand the definition of the support of a distribution?

Necessary condition for embedding of a homogeneous Sobolev space into the space of distributions

How can you extend distributions non uniquely to sobolev spaces

How to interpret $\delta(x\pm ct)$ as the solution to the wave equation?

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