List questions from distribution-theory

Published on 09 Apr 2026 - 21:35

77

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How to show that $u \in W^{1,p}(\Omega)$

Published on 11 Apr 2026 - 6:10

161

Views

Convergence in distribution space and tempered distribution space

Published on 13 Nov 2020 - 6:38

50

Views

Convergence in $\mathcal{S}'$ and $L^p$ spaces

Published on 11 Apr 2026 - 17:10

38

Views

Is there a theorem deals with $\int_{\Omega} \bigtriangleup u \bigtriangleup v $

Published on 11 Apr 2026 - 11:07

73

Views

Distributional Fourier Transform of $f(x)=\frac{e^{ix\cdot \xi_0}}{\vert x-x_0\vert}$ where $x\in\mathbb R^2$ and $\xi_0,x_0\in\mathbb R^2$ fixed

Published on 13 Nov 2020 - 21:32

82

Views

Does $\bigtriangleup u =0$ imply $u=0$?

Published on 10 Apr 2026 - 19:04

891

Views

Proof of Hopf Lax formula

Published on 08 Apr 2026 - 20:58

183

Views

Computing the Fourier transform of three distributions - one last part

Published on 11 Apr 2026 - 2:11

100

Views

Showing $[H(x + t) − H(x − t)]\,\delta'(t) = −2\delta(x)\delta(t)$, for Dirac delta $\delta$ and Heaviside $H$

Published on 04 Apr 2026 - 3:55

1.4k

Views

Contour integration and Green's function

Published on 28 Mar 2026 - 16:56

391

Views

Fourier transform of $\log|x|$ in $\mathbb{R}^2$ and the solution to $\Delta u = \delta_0$

Published on 11 Apr 2026 - 7:37

92

Views

Why do we want $C^\infty_c$ to be complete in distribution theory?

Published on 10 Apr 2026 - 2:32

46

Views

Distribution algorithm from rectangle to sine

Published on 10 Apr 2026 - 19:02

546

Views

Dirac Delta Function "removing integral"

Published on 09 Apr 2026 - 15:16

List Question

Problem on temperate distribution theory

How to show that $u \in W^{1,p}(\Omega)$

Convergence in distribution space and tempered distribution space

Convergence in $\mathcal{S}'$ and $L^p$ spaces

Is there a theorem deals with $\int_{\Omega} \bigtriangleup u \bigtriangleup v $

Distributional Fourier Transform of $f(x)=\frac{e^{ix\cdot \xi_0}}{\vert x-x_0\vert}$ where $x\in\mathbb R^2$ and $\xi_0,x_0\in\mathbb R^2$ fixed

Does $\bigtriangleup u =0$ imply $u=0$?

Proof of Hopf Lax formula

Computing the Fourier transform of three distributions - one last part

Showing $[H(x + t) − H(x − t)]\,\delta'(t) = −2\delta(x)\delta(t)$, for Dirac delta $\delta$ and Heaviside $H$

Contour integration and Green's function

Fourier transform of $\log|x|$ in $\mathbb{R}^2$ and the solution to $\Delta u = \delta_0$

Why do we want $C^\infty_c$ to be complete in distribution theory?

Distribution algorithm from rectangle to sine

Dirac Delta Function "removing integral"

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