List questions from distribution-theory

Published on 17 Apr 2026 - 8:54

19

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How do I parse this PDE for the evolution of a probability distribution?

Published on 11 Apr 2026 - 11:29

200

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The function $1/r$ satisfies the Laplace equation?

Published on 13 Apr 2026 - 4:59

174

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Problem with defining $\int_0^\infty\delta(x)dx$ within distribution theory by considering nascent dirac deltas

Published on 11 Apr 2026 - 12:31

48

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Solve the distributional equation for $f$

Published on 14 Apr 2026 - 11:40

52

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Calculate $E\left(\tilde Y_{k}^{2}\right)$ where $ \tilde Y_{k}=\int_{(2(k-1)+\frac{1}{2}) \pi}^{\left(2 k+\frac{1}{2}\right) \pi} \cos s d \Theta(s)$

Published on 16 Apr 2026 - 17:02

76

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Show that $f=g$ almost everywhere on $\mathbb{R}^n$.

Published on 14 Apr 2026 - 13:05

45

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Mass conservation in a distribution sense.

Published on 14 Apr 2026 - 2:52

106

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Fourier transform of an ODE

Published on 10 Apr 2026 - 4:44

74

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In what sense do we understand the Laplacian $\Delta u$ of $u$ if $u$ is only a member of the Sobolev space $W^{2,p}$?

Published on 15 Apr 2026 - 13:34

64

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On the form of the semi-norms inducing the usual Schwartz topology.

Published on 15 Apr 2026 - 17:49

48

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Calculate $\int_0^t e^{-s} \cos (t-s)\ \mathrm{d}\Theta(s)$

Published on 16 Apr 2026 - 21:51

58

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When do we have $\lim_{i\to\infty}\langle\Delta u_i,\phi\rangle=0$ if the Laplacian is distributional and $\phi$ is a test function?

Published on 14 Apr 2026 - 14:57

95

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Dirac delta distribution, one after another

Published on 10 Apr 2026 - 1:24

191

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Why is this integral not finite?

Published on 14 Apr 2026 - 7:03

List Question

Characterization of extendible distributions

How do I parse this PDE for the evolution of a probability distribution?

The function $1/r$ satisfies the Laplace equation?

Problem with defining $\int_0^\infty\delta(x)dx$ within distribution theory by considering nascent dirac deltas

Solve the distributional equation for $f$

Calculate $E\left(\tilde Y_{k}^{2}\right)$ where $ \tilde Y_{k}=\int_{(2(k-1)+\frac{1}{2}) \pi}^{\left(2 k+\frac{1}{2}\right) \pi} \cos s d \Theta(s)$

Show that $f=g$ almost everywhere on $\mathbb{R}^n$.

Mass conservation in a distribution sense.

Fourier transform of an ODE

In what sense do we understand the Laplacian $\Delta u$ of $u$ if $u$ is only a member of the Sobolev space $W^{2,p}$?

On the form of the semi-norms inducing the usual Schwartz topology.

Calculate $\int_0^t e^{-s} \cos (t-s)\ \mathrm{d}\Theta(s)$

When do we have $\lim_{i\to\infty}\langle\Delta u_i,\phi\rangle=0$ if the Laplacian is distributional and $\phi$ is a test function?

Dirac delta distribution, one after another

Why is this integral not finite?

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