Question

What is the divergence $\operatorname{div}u$ of a $L^2(\Omega)^d$ function $u$?

score 809 · Answer 1 · 2016-01-21 13:32:50

809

Views

What is the divergence $\operatorname{div}u$ of a $L^2(\Omega)^d$ function $u$?

Published on 21 Jan 2016 - 13:32

score 161 · Answer 2 · 2016-01-22 22:54:02

161

Views

Question: Fourier transform

Published on 22 Jan 2016 - 22:54

score 325 · Answer 3 · 2026-04-01 10:22:29

325

Views

Why does convolution of delta function commute (test distribution perspective)?

Published on 01 Apr 2026 - 10:22

score 78 · Answer 4 · 2026-04-01 10:23:24

78

Views

Why is $\frac{d^2}{dx^2} e^{-|x|} = e^{-|x|} - 2 \delta(x)$

Published on 01 Apr 2026 - 10:23

score 394 · Answer 5 · 2016-01-23 07:29:33

394

Views

Prove that $\frac{t}{t^2-1}$ is a tempered distribution

Published on 23 Jan 2016 - 7:29

score 1.1k · Answer 6 · 2026-03-27 20:19:44

1.1k

Views

Does the weak divergence exist for each $\mathcal L^2(\Omega;\mathbb R^d)$-function?

Published on 27 Mar 2026 - 20:19

score 143 · Answer 7 · 2016-01-24 14:09:57

143

Views

What's the distributional derivative of a Banach space valued almost surely continuous stochastic process?

Published on 24 Jan 2016 - 14:09

score 2.8k · Answer 8 · 2026-03-31 14:21:46

2.8k

Views

Dirac's delta in 3 dimensions: proof of $\nabla^2(\|\boldsymbol{x}-\boldsymbol{x}_0\|^{-1})=-4\pi\delta(\boldsymbol{x}-\boldsymbol{x}_0)$

Published on 31 Mar 2026 - 14:21

score 376 · Answer 9 · 2026-03-31 14:15:37

376

Views

$\nabla^2(\|\boldsymbol{x}-\boldsymbol{x}_0\|^{-1})=-4\pi\delta(\boldsymbol{x}-\boldsymbol{x}_0)$ with distributions defined on Schwartz space

Published on 31 Mar 2026 - 14:15

score 69 · Answer 10 · 2026-03-28 22:37:06

69

Views

functions acting as linear functionals on their dual space

Published on 28 Mar 2026 - 22:37

score 232 · Answer 11 · 2026-04-01 10:24:43

232

Views

How to show that $\delta^3(\vec{x}-\vec{a})=\lim_{\alpha\to0} \frac{\alpha/\pi^2}{(\alpha^2+|\vec{x}-\vec{a}|^2)^2}$

Published on 01 Apr 2026 - 10:24

score 376 · Answer 12 · 2016-01-27 11:12:17

376

Views

What is a generalized stochastic process? I've found two different definitions. Are they equivalent?

Published on 27 Jan 2016 - 11:12

score 188 · Answer 13 · 2016-01-27 13:20:35

188

Views

Given a $C_c^∞(G)$-valued random variable, is $C_c^∞(G)∋φ↦\text E[\langle\xi,φ\rangle]$ an element of the dual space of $C_c^∞(G)$?

Published on 27 Jan 2016 - 13:20

score 82 · Answer 14 · 2016-01-29 22:37:10

82

Views

Computing the limit of an integral

Published on 29 Jan 2016 - 22:37

score 80 · Answer 15 · 2016-01-31 00:40:12

80

Views

Prove order of distribution $\Lambda_{1/x}$ is 1

Published on 31 Jan 2016 - 0:40

List Question

What is the divergence $\operatorname{div}u$ of a $L^2(\Omega)^d$ function $u$?

Question: Fourier transform

Why does convolution of delta function commute (test distribution perspective)?

Why is $\frac{d^2}{dx^2} e^{-|x|} = e^{-|x|} - 2 \delta(x)$

Prove that $\frac{t}{t^2-1}$ is a tempered distribution

Does the weak divergence exist for each $\mathcal L^2(\Omega;\mathbb R^d)$-function?

What's the distributional derivative of a Banach space valued almost surely continuous stochastic process?

Dirac's delta in 3 dimensions: proof of $\nabla^2(\|\boldsymbol{x}-\boldsymbol{x}_0\|^{-1})=-4\pi\delta(\boldsymbol{x}-\boldsymbol{x}_0)$

$\nabla^2(\|\boldsymbol{x}-\boldsymbol{x}_0\|^{-1})=-4\pi\delta(\boldsymbol{x}-\boldsymbol{x}_0)$ with distributions defined on Schwartz space

functions acting as linear functionals on their dual space

How to show that $\delta^3(\vec{x}-\vec{a})=\lim_{\alpha\to0} \frac{\alpha/\pi^2}{(\alpha^2+|\vec{x}-\vec{a}|^2)^2}$

What is a generalized stochastic process? I've found two different definitions. Are they equivalent?

Given a $C_c^∞(G)$-valued random variable, is $C_c^∞(G)∋φ↦\text E[\langle\xi,φ\rangle]$ an element of the dual space of $C_c^∞(G)$?

Computing the limit of an integral

Prove order of distribution $\Lambda_{1/x}$ is 1

Trending Questions

Popular # Hahtags

Popular Questions