List questions from laplacian

Published on 16 Aug 2020 - 9:47

244

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The importance of approximating $\mathbb{E}^x(f(B_t)) \approx f(x)+ \frac{t}{2} f''(x) $

Published on 30 Mar 2026 - 3:39

259

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What can be said of Neumann eigenfunctions with non-vanishing derivative?

Published on 21 Aug 2020 - 21:32

1.7k

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Mean Value Theorem for Laplace's equation

Published on 25 Aug 2020 - 3:34

531

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Why the sign of eigenfunction of Laplacian operator is reversed?

Published on 28 Mar 2026 - 11:13

206

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Curvature waves, harmonic curvature, and curvature flow

Published on 26 Mar 2026 - 4:34

1k

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Trouble with fundamental solution of Laplace equation via Fourier transform

Published on 09 Sep 2020 - 21:45

83

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Do we have eigenfunctions for Laplacian in $\Bbb{R}^n$

Published on 28 Mar 2026 - 9:25

333

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Must a harmonic function that's positive and has positive normal derivative on the $x$-axis be positive in the entire upper half plane?

Published on 24 Sep 2020 - 1:11

118

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$2\text{D}$ Fourier Transform of Laplacian in polar coordinates

Published on 24 Sep 2020 - 15:14

52

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PDE bounded smooth

Published on 27 Sep 2020 - 22:50

417

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Laplace-beltrami operator simplifying to arc length derivative

Published on 29 Sep 2020 - 15:02

312

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A Laplacian identity from Evans

Published on 05 Oct 2020 - 3:17

210

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Average of Laplacian is Laplacian of Average

Published on 07 Oct 2020 - 4:35

783

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Evaluating the laplacian of r involving partial derivatives

Published on 08 Oct 2020 - 13:58

List Question

Time derivative of the mapping $t \mapsto P_tf(x)=\mathbb{E}^x(f(X_t))$ - infinitesimal generator

The importance of approximating $\mathbb{E}^x(f(B_t)) \approx f(x)+ \frac{t}{2} f''(x) $

What can be said of Neumann eigenfunctions with non-vanishing derivative?

Mean Value Theorem for Laplace's equation

Why the sign of eigenfunction of Laplacian operator is reversed?

Curvature waves, harmonic curvature, and curvature flow

Trouble with fundamental solution of Laplace equation via Fourier transform

Do we have eigenfunctions for Laplacian in $\Bbb{R}^n$

Must a harmonic function that's positive and has positive normal derivative on the $x$-axis be positive in the entire upper half plane?

$2\text{D}$ Fourier Transform of Laplacian in polar coordinates

PDE bounded smooth

Laplace-beltrami operator simplifying to arc length derivative

A Laplacian identity from Evans

Average of Laplacian is Laplacian of Average

Evaluating the laplacian of r involving partial derivatives

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