List questions from laplacian

Published on 09 Mar 2019 - 4:56

324

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Laplace equation in 3D with numerous Non-Homogeneous BC(s) [Strategy Check]

Published on 24 Mar 2026 - 11:33

92

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Riemannian geometry on discrete sets

Published on 14 Mar 2019 - 11:20

150

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Why do we need projection in the definition of the Stokes operator?

Published on 14 Mar 2019 - 21:37

133

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For a compact Riemannian manifold $M$, $L^2(M)$ is spanned by the eigenfunctions of the Laplacian.

Published on 20 Mar 2019 - 10:56

280

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Three dimensional Laplace equation with constant Temp. on one face. [Solution not satisfying BC]

Published on 23 Mar 2019 - 4:08

155

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$ W_{0}^{2}(\Omega)=\{ f\in W_{0}^{1}(\Omega):\Delta f\in L^{2}(\Omega)\}? $

Published on 24 Mar 2019 - 0:35

1k

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If $u(r, \theta)$ is a solution of Laplace’s equation show that $u(\frac{1}{r}, \theta)$ is also a solution.

Published on 26 Mar 2019 - 20:38

126

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Bounded Laplacian

Published on 28 Mar 2019 - 21:36

686

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Laplace Equation For Infinite Plate

Published on 02 Apr 2019 - 4:54

155

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Constructing a tridiagonal Laplacian matrix

Published on 07 Apr 2019 - 20:15

74

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Solutions to $\Delta u = u_{xx} + u_{yy} + u_{zz} = 0$ that only depend on r

Published on 08 Apr 2019 - 0:53

90

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$u=f(\frac{x}{y})$ as a solution to $\Delta u = 0$

Published on 08 Apr 2019 - 3:34

84

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Show that $\int_{S_r}{y_{i}y_{j}d\sigma(y)}=0$ on the sphere $S_{r}(x)$.

Published on 12 Apr 2019 - 4:32

228

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Trace and Det of Laplacian on the rectangle

Published on 25 Mar 2026 - 9:38

List Question

Riemannian metric and Laplacian coming from an invariant form on the lie algebra

Laplace equation in 3D with numerous Non-Homogeneous BC(s) [Strategy Check]

Riemannian geometry on discrete sets

Why do we need projection in the definition of the Stokes operator?

For a compact Riemannian manifold $M$, $L^2(M)$ is spanned by the eigenfunctions of the Laplacian.

Three dimensional Laplace equation with constant Temp. on one face. [Solution not satisfying BC]

$ W_{0}^{2}(\Omega)=\{ f\in W_{0}^{1}(\Omega):\Delta f\in L^{2}(\Omega)\}? $

If $u(r, \theta)$ is a solution of Laplace’s equation show that $u(\frac{1}{r}, \theta)$ is also a solution.

Bounded Laplacian

Laplace Equation For Infinite Plate

Constructing a tridiagonal Laplacian matrix

Solutions to $\Delta u = u_{xx} + u_{yy} + u_{zz} = 0$ that only depend on r

$u=f(\frac{x}{y})$ as a solution to $\Delta u = 0$

Show that $\int_{S_r}{y_{i}y_{j}d\sigma(y)}=0$ on the sphere $S_{r}(x)$.

Trace and Det of Laplacian on the rectangle

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