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Intersections of the level curves of two (conjugate) harmonic functions

score 1.1k · Answer 1 · 2016-03-06 14:16:24

1.1k

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Intersections of the level curves of two (conjugate) harmonic functions

Published on 06 Mar 2016 - 14:16

score 119 · Answer 2 · 2016-03-07 22:11:44

119

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Show that $z^n+c$ is harmonic, $c\in\mathbb C$.

Published on 07 Mar 2016 - 22:11

score 2.3k · Answer 3 · 2026-03-27 23:31:13

2.3k

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Greens function for 2d laplace equation with neumann boundary conditions

Published on 27 Mar 2026 - 23:31

score 188 · Answer 4 · 2016-03-13 03:26:22

188

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Inequality involving harmonic functions over the ball and half ball

Published on 13 Mar 2016 - 3:26

score 5.6k · Answer 5 · 2026-03-28 01:07:16

5.6k

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Find Green's function of quarter-plane with method of images

Published on 28 Mar 2026 - 1:07

score 733 · Answer 6 · 2016-03-14 09:12:43

733

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Laplace's equation 2 variable PDE/chain rule show function is a solution

Published on 14 Mar 2016 - 9:12

score 2.8k · Answer 7 · 2026-03-18 23:59:49

2.8k

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Fourier Transform to solve Laplace's equation in cylindrical coordinates

Published on 18 Mar 2026 - 23:59

score 78 · Answer 8 · 2026-03-31 16:15:13

78

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Intuition behind $\nabla \cdot \frac{1}{\rho}\nabla$?

Published on 31 Mar 2026 - 16:15

score 636 · Answer 9 · 2016-03-20 14:19:49

636

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Find a harmonic function which goes to $0$ on the boundary, which is not identically $0$

Published on 20 Mar 2016 - 14:19

score 1.4k · Answer 10 · 2016-03-25 22:18:24

1.4k

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Find a harmonic conjugate for the function $u(x,y)=x^{3}+Axy^{2}$ if one exists - $u(x,y)$ might not be harmonic?

Published on 25 Mar 2016 - 22:18

score 2.3k · Answer 11 · 2026-03-29 06:56:31

2.3k

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Show composition of harmonic function and analytic function is harmonic without calculating 2nd derivatives

Published on 29 Mar 2026 - 6:56

score 267 · Answer 12 · 2016-03-30 12:29:58

267

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3 dimensional harmonic conjugates?

Published on 30 Mar 2016 - 12:29

score 1.2k · Answer 13 · 2026-03-27 14:52:37

1.2k

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Use result that composition of analytic functions is harmonic to find harmonic conjugate of $e^{-2xy}\sin (x^{2}-y^{2})$

Published on 27 Mar 2026 - 14:52

score 1k · Answer 14 · 2016-04-02 09:38:15

1k

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Separation of variables for PDE: dividing by zero?

Published on 02 Apr 2016 - 9:38

score 1.1k · Answer 15 · 2016-04-04 03:32:50

1.1k

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The value of a harmonic function in the interior of a unit disk

Published on 04 Apr 2016 - 3:32

List Question

Intersections of the level curves of two (conjugate) harmonic functions

Show that $z^n+c$ is harmonic, $c\in\mathbb C$.

Greens function for 2d laplace equation with neumann boundary conditions

Inequality involving harmonic functions over the ball and half ball

Find Green's function of quarter-plane with method of images

Laplace's equation 2 variable PDE/chain rule show function is a solution

Fourier Transform to solve Laplace's equation in cylindrical coordinates

Intuition behind $\nabla \cdot \frac{1}{\rho}\nabla$?

Find a harmonic function which goes to $0$ on the boundary, which is not identically $0$

Find a harmonic conjugate for the function $u(x,y)=x^{3}+Axy^{2}$ if one exists - $u(x,y)$ might not be harmonic?

Show composition of harmonic function and analytic function is harmonic without calculating 2nd derivatives

3 dimensional harmonic conjugates?

Use result that composition of analytic functions is harmonic to find harmonic conjugate of $e^{-2xy}\sin (x^{2}-y^{2})$

Separation of variables for PDE: dividing by zero?

The value of a harmonic function in the interior of a unit disk

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