Question

If $U$ is an unitary operator from $L^2(\Omega_1)$ to $L^2(\Omega_2)$, then $U$ commutes with the Laplacian

score 152 · Answer 1 · 2026-03-28 00:31:01

152

Views

If $U$ is an unitary operator from $L^2(\Omega_1)$ to $L^2(\Omega_2)$, then $U$ commutes with the Laplacian

Published on 28 Mar 2026 - 0:31

score 75 · Answer 2 · 2026-04-01 10:30:58

75

Views

Possibility of confusion caused by the use of $\nabla$

Published on 01 Apr 2026 - 10:30

score 42 · Answer 3 · 2021-02-18 04:14:22

42

Views

Coordinate expression of second term in tensor Laplacian

Published on 18 Feb 2021 - 4:14

score 67 · Answer 4 · 2021-02-18 15:38:22

67

Views

Laplacian in a perforated domain with non-homogenous boundary conditions. Link with the existence of a suited extension function.

Published on 18 Feb 2021 - 15:38

score 329 · Answer 5 · 2026-03-25 21:48:59

329

Views

Laplacian of the fundamental solution for Laplace's equation

Published on 25 Mar 2026 - 21:48

score 99 · Answer 6 · 2026-03-28 00:35:31

99

Views

Isometric domains are isospectral for the Laplacian

Published on 28 Mar 2026 - 0:35

score 114 · Answer 7 · 2021-02-23 23:01:17

114

Views

$ \lim_{x\rightarrow0}\left\vert x\right\vert ^{n-2}u\left( x\right) =0. $ Show that $u\equiv0$ in $B_{1}\left( 0\right) $.

Published on 23 Feb 2021 - 23:01

score 233 · Answer 8 · 2021-02-27 09:57:29

233

Views

Express the Laplacian in $u-v$ coordinates. How?

Published on 27 Feb 2021 - 9:57

score 115 · Answer 9 · 2021-02-28 11:19:17

115

Views

Supremum of a subharmonic function

Published on 28 Feb 2021 - 11:19

score 118 · Answer 10 · 2021-03-04 19:54:32

118

Views

Laplacian of an integral on manifold equals zero

Published on 04 Mar 2021 - 19:54

score 137 · Answer 11 · 2021-03-07 19:31:31

137

Views

Why is absolute value of the Laplacian of a function is less than or equal to a constant times magnitude of the Hessian of a function

Published on 07 Mar 2021 - 19:31

score 234 · Answer 12 · 2021-03-13 11:15:46

234

Views

Laplace's eigenvalue problem

Published on 13 Mar 2021 - 11:15

score 91 · Answer 13 · 2026-03-28 22:28:25

91

Views

Why does $\nabla\delta(t-\frac{r}{c}) = \frac{-\vec{e_r}}{c}\delta(t-\frac{r}{c})$?

Published on 28 Mar 2026 - 22:28

score 355 · Answer 14 · 2021-03-22 09:25:29

355

Views

Second normal derivative on a curved boundary

Published on 22 Mar 2021 - 9:25

score 1k · Answer 15 · 2021-03-28 09:49:56

1k

Views

Laplacian and Fourier Transform in a differential equation

Published on 28 Mar 2021 - 9:49

List Question

If $U$ is an unitary operator from $L^2(\Omega_1)$ to $L^2(\Omega_2)$, then $U$ commutes with the Laplacian

Possibility of confusion caused by the use of $\nabla$

Coordinate expression of second term in tensor Laplacian

Laplacian in a perforated domain with non-homogenous boundary conditions. Link with the existence of a suited extension function.

Laplacian of the fundamental solution for Laplace's equation

Isometric domains are isospectral for the Laplacian

$ \lim_{x\rightarrow0}\left\vert x\right\vert ^{n-2}u\left( x\right) =0. $ Show that $u\equiv0$ in $B_{1}\left( 0\right) $.

Express the Laplacian in $u-v$ coordinates. How?

Supremum of a subharmonic function

Laplacian of an integral on manifold equals zero

Why is absolute value of the Laplacian of a function is less than or equal to a constant times magnitude of the Hessian of a function

Laplace's eigenvalue problem

Why does $\nabla\delta(t-\frac{r}{c}) = \frac{-\vec{e_r}}{c}\delta(t-\frac{r}{c})$?

Second normal derivative on a curved boundary

Laplacian and Fourier Transform in a differential equation

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