Question

Existence of solution to Laplace equation given graph form and fractional Sobolev data

score 73 · Answer 1 · 2026-03-26 23:11:29

73

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Existence of solution to Laplace equation given graph form and fractional Sobolev data

Published on 26 Mar 2026 - 23:11

score 50 · Answer 2 · 2022-10-04 16:09:17

50

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What exactly does $\Delta f = \sum_{i=1}^N e_i(e_i f)$ (for all $f\in C^\infty(M)$) mean and what can we say about $N$ and $e_i$, if $M=\Bbb S^n$?

Published on 04 Oct 2022 - 16:09

score 73 · Answer 3 · 2026-03-26 04:53:05

73

Views

Formula for the inverse of Laplacian plus constant in a ball\semiball

Published on 26 Mar 2026 - 4:53

score 152 · Answer 4 · 2026-03-26 14:20:50

152

Views

Why can a similarity matrix be used instead of a Laplace matrix when using spectral clustering methods?

Published on 26 Mar 2026 - 14:20

score 98 · Answer 5 · 2026-03-28 17:41:17

98

Views

Numerical PDE: How can I incorporate boundary conditions for the Laplace-Beltrami eigenvalue problem on a manifold?

Published on 28 Mar 2026 - 17:41

score 24 · Answer 6 · 2022-10-18 11:42:01

Separation variable for the Laplace equation: why ther is no image part of the cylindar coordinate? [Classical Electrodynamics - Jackson]

score 115 · Answer 7 · 2022-10-25 18:28:06

115

Views

General solution for vector differential equation

Published on 25 Oct 2022 - 18:28

score 74 · Answer 8 · 2022-10-27 18:49:17

74

Views

Variable-coefficient Laplacian identity proof

Published on 27 Oct 2022 - 18:49

score 67 · Answer 9 · 2022-10-29 19:07:40

67

Views

How do I solve the equation $\Delta\phi=-\frac{k}{r^2}\phi$

Published on 29 Oct 2022 - 19:07

score 50 · Answer 10 · 2026-04-02 14:35:33

50

Views

Temperature bounds in heat transfer PDE

Published on 02 Apr 2026 - 14:35

score 49 · Answer 11 · 2022-11-07 03:23:54

49

Views

Laplacian of square integrable functions

Published on 07 Nov 2022 - 3:23

score 203 · Answer 12 · 2022-11-08 22:46:52

203

Views

Non-brute force way to show $|x|^{2-n}u\left(\frac{x}{|x|^2}\right)$ is harmonic if $u$ is harmonic?

Published on 08 Nov 2022 - 22:46

score 59 · Answer 13 · 2026-03-27 22:59:40

59

Views

Laplacian Dirichlet eigenvalues on a given domain

Published on 27 Mar 2026 - 22:59

score 63 · Answer 14 · 2026-03-27 21:32:56

63

Views

Radial solution Poisson Equation

Published on 27 Mar 2026 - 21:32

score 105 · Answer 15 · 2026-03-26 17:32:15

105

Views

Why does the condition $\sum_{x\in\Lambda}f_x=0$ imply the discrete Laplacian is invertible?

Published on 26 Mar 2026 - 17:32

List Question

Existence of solution to Laplace equation given graph form and fractional Sobolev data

What exactly does $\Delta f = \sum_{i=1}^N e_i(e_i f)$ (for all $f\in C^\infty(M)$) mean and what can we say about $N$ and $e_i$, if $M=\Bbb S^n$?

Formula for the inverse of Laplacian plus constant in a ball\semiball

Why can a similarity matrix be used instead of a Laplace matrix when using spectral clustering methods?

Numerical PDE: How can I incorporate boundary conditions for the Laplace-Beltrami eigenvalue problem on a manifold?

Separation variable for the Laplace equation: why ther is no image part of the cylindar coordinate? [Classical Electrodynamics - Jackson]

General solution for vector differential equation

Variable-coefficient Laplacian identity proof

How do I solve the equation $\Delta\phi=-\frac{k}{r^2}\phi$

Temperature bounds in heat transfer PDE

Laplacian of square integrable functions

Non-brute force way to show $|x|^{2-n}u\left(\frac{x}{|x|^2}\right)$ is harmonic if $u$ is harmonic?

Laplacian Dirichlet eigenvalues on a given domain

Radial solution Poisson Equation

Why does the condition $\sum_{x\in\Lambda}f_x=0$ imply the discrete Laplacian is invertible?

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