Question

Confusion with the formula for harmonic conjugate

score 183 · Answer 1 · 2018-10-20 05:29:01

183

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Confusion with the formula for harmonic conjugate

Published on 20 Oct 2018 - 5:29

score 93 · Answer 2 · 2018-10-20 12:04:57

93

Views

Hardy space and extension to L2: convergence theorems

Published on 20 Oct 2018 - 12:04

score 274 · Answer 3 · 2018-10-22 18:42:21

274

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Mapping the solution to Laplace equation with Dirichlet and Neumann boundary conditions from half-plane to quadrant

Published on 22 Oct 2018 - 18:42

score 75 · Answer 4 · 2026-03-25 11:04:45

75

Views

Correct form of the Laplacian on a 1-D ellipse, and it's solutions

Published on 25 Mar 2026 - 11:04

score 198 · Answer 5 · 2026-03-25 02:56:38

198

Views

Harmonic functions interpolation

Published on 25 Mar 2026 - 2:56

score 233 · Answer 6 · 2018-10-24 11:49:47

233

Views

Laplace's Equation - Existence and Uniqueness with Robin conditions on an annulus

Published on 24 Oct 2018 - 11:49

score 66 · Answer 7 · 2018-10-31 00:48:12

66

Views

counter-example to holomorphic transformations of harmonic functions?

Published on 31 Oct 2018 - 0:48

score 358 · Answer 8 · 2018-11-04 17:35:10

358

Views

Interior gradient estimate harmonic function: decay estimate

Published on 04 Nov 2018 - 17:35

score 4.8k · Answer 9 · 2018-11-07 21:28:00

4.8k

Views

The harmonic conjugate of the function

Published on 07 Nov 2018 - 21:28

score 853 · Answer 10 · 2018-11-10 19:58:36

853

Views

PDE Laplace equation. Integral representation form and Green function

Published on 10 Nov 2018 - 19:58

score 3k · Answer 11 · 2026-03-25 07:38:58

3k

Views

Harmonic functions and Maximum Modulus Principle. (Real harmonic function implies holomorphic function?)

Published on 25 Mar 2026 - 7:38

score 83 · Answer 12 · 2026-03-25 18:50:38

83

Views

Let $v(x) = \int_{B(0,R)} \frac{c}{||x-y||^{n-2}}\mathrm{d}y$. Show that for $x \in B(0,R)^c$ we have $v(x) = c_1||x||^{2-n} + c_0$

Published on 25 Mar 2026 - 18:50

score 292 · Answer 13 · 2018-11-22 11:32:40

292

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How to find the harmonic conjugate of $v(x,y)=\log((x-1)^2 +(y-2)^2)$?

Published on 22 Nov 2018 - 11:32

score 118 · Answer 14 · 2026-03-25 14:27:17

118

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Why is it that for a hamonic $u$, $\int_{\gamma}*du = 0$ for any cycle $\gamma$ then $u$ has a harmonic function there?

Published on 25 Mar 2026 - 14:27

score 1k · Answer 15 · 2018-11-24 22:20:01

1k

Views

Proving an integral formula containing the Poisson kernel

Published on 24 Nov 2018 - 22:20

List Question

Confusion with the formula for harmonic conjugate

Hardy space and extension to L2: convergence theorems

Mapping the solution to Laplace equation with Dirichlet and Neumann boundary conditions from half-plane to quadrant

Correct form of the Laplacian on a 1-D ellipse, and it's solutions

Harmonic functions interpolation

Laplace's Equation - Existence and Uniqueness with Robin conditions on an annulus

counter-example to holomorphic transformations of harmonic functions?

Interior gradient estimate harmonic function: decay estimate

The harmonic conjugate of the function

PDE Laplace equation. Integral representation form and Green function

Harmonic functions and Maximum Modulus Principle. (Real harmonic function implies holomorphic function?)

Let $v(x) = \int_{B(0,R)} \frac{c}{||x-y||^{n-2}}\mathrm{d}y$. Show that for $x \in B(0,R)^c$ we have $v(x) = c_1||x||^{2-n} + c_0$

How to find the harmonic conjugate of $v(x,y)=\log((x-1)^2 +(y-2)^2)$?

Why is it that for a hamonic $u$, $\int_{\gamma}*du = 0$ for any cycle $\gamma$ then $u$ has a harmonic function there?

Proving an integral formula containing the Poisson kernel

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