Question

Image of the Hodge-de Rham Laplacian

score 326 · Answer 1 · 2026-03-26 09:49:52

326

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Image of the Hodge-de Rham Laplacian

Published on 26 Mar 2026 - 9:49

score 1.5k · Answer 2 · 2026-03-26 04:32:14

1.5k

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What is the relation between the Laplacian Operator and the Laplacian Matrix?

Published on 26 Mar 2026 - 4:32

score 1.5k · Answer 3 · 2017-01-23 13:49:53

1.5k

Views

Why is the Laplacian operator hermitian?

Published on 23 Jan 2017 - 13:49

score 523 · Answer 4 · 2017-01-23 17:11:34

523

Views

Laplace equation - boundary value problem

Published on 23 Jan 2017 - 17:11

score 68 · Answer 5 · 2026-03-26 17:29:52

68

Views

Eigen functions/value for SL-operator

Published on 26 Mar 2026 - 17:29

score 621 · Answer 6 · 2026-03-25 03:18:55

621

Views

Square root of Laplace operator

Published on 25 Mar 2026 - 3:18

score 159 · Answer 7 · 2017-02-02 11:12:21

159

Views

Show that $\int_U (\Delta^2 f) g \ d\lambda^2 = \int_U (\Delta f) (\Delta g) d\lambda^2.$

Published on 02 Feb 2017 - 11:12

score 65 · Answer 8 · 2017-02-03 12:46:37

65

Views

Can we show that $\left\|u\right\|_{L^2}^2+\left\|\Delta u\right\|_{L^2}^2\le C\left\|\Delta u\right\|_{L^2}^2$?

Published on 03 Feb 2017 - 12:46

score 164 · Answer 9 · 2026-03-28 00:06:14

164

Views

If $u\in H_0^1$ admits a weak Laplacian in $L^2$, are we able to show $\nabla u\in L^p$ for some $p>2$?

Published on 28 Mar 2026 - 0:06

score 124 · Answer 10 · 2017-02-05 20:58:00

124

Views

If $u\in H_0^1$ with $\Delta u\in L^2$, then $\left\|\Delta u\right\|_{L^2}\le C\left\|u\right\|_{H^1}$

Published on 05 Feb 2017 - 20:58

score 211 · Answer 11 · 2017-02-07 18:08:22

211

Views

Uniform estimate for Laplacian eigenfunctions

Published on 07 Feb 2017 - 18:08

score 68 · Answer 12 · 2017-02-14 12:22:31

68

Views

Apparent Contradictory Algebra in the Derivation of the Laplacian in Spherical Coordinates

Published on 14 Feb 2017 - 12:22

score 89 · Answer 13 · 2026-03-27 11:45:36

89

Views

Solving wave equation by factorizing Laplace Operators: repeated roots

Published on 27 Mar 2026 - 11:45

score 426 · Answer 14 · 2017-02-23 22:51:23

426

Views

Definition of vectorial Laplace-Beltrami operator

Published on 23 Feb 2017 - 22:51

score 95 · Answer 15 · 2017-03-01 17:06:28

95

Views

Is solution of $div(k(x,y) \nabla(u(x,y)))=0$ harmonic function, for $k(x,y) > 0$?

Published on 01 Mar 2017 - 17:06

List Question

Image of the Hodge-de Rham Laplacian

What is the relation between the Laplacian Operator and the Laplacian Matrix?

Why is the Laplacian operator hermitian?

Laplace equation - boundary value problem

Eigen functions/value for SL-operator

Square root of Laplace operator

Show that $\int_U (\Delta^2 f) g \ d\lambda^2 = \int_U (\Delta f) (\Delta g) d\lambda^2.$

Can we show that $\left\|u\right\|_{L^2}^2+\left\|\Delta u\right\|_{L^2}^2\le C\left\|\Delta u\right\|_{L^2}^2$?

If $u\in H_0^1$ admits a weak Laplacian in $L^2$, are we able to show $\nabla u\in L^p$ for some $p>2$?

If $u\in H_0^1$ with $\Delta u\in L^2$, then $\left\|\Delta u\right\|_{L^2}\le C\left\|u\right\|_{H^1}$

Uniform estimate for Laplacian eigenfunctions

Apparent Contradictory Algebra in the Derivation of the Laplacian in Spherical Coordinates

Solving wave equation by factorizing Laplace Operators: repeated roots

Definition of vectorial Laplace-Beltrami operator

Is solution of $div(k(x,y) \nabla(u(x,y)))=0$ harmonic function, for $k(x,y) > 0$?

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