List questions from harmonic-functions

Published on 25 Mar 2026 - 20:41

217

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Neumann problem for Laplace Equation on $H=\{(x,y)|-\infty < x < \infty, y>0\}$

Published on 14 Dec 2016 - 3:40

167

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Fourier transform problem - Keep messing up a sign.

Published on 15 Dec 2016 - 0:15

124

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Solve equation applying the Laplace transform

Published on 25 Mar 2026 - 12:52

386

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How to estimate the error of a numerical solution of the Laplace equation?

Published on 29 Mar 2026 - 3:36

553

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Harmonic series (ln-series)?

Published on 19 Dec 2016 - 12:17

684

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Why is the spectrum of the Laplace operator positive?

Published on 19 Dec 2016 - 12:48

2.3k

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Fourier Transform - Laplace Equation on infinite strip - weird solution involving series

Published on 20 Dec 2016 - 3:57

97

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Why $-\Delta u(x)=-\int_{\mathbb R^d}\nabla _xG(x,y)\cdot \nabla f(y)\mathrm d y=\int_{\mathbb R^d}\nabla _y G(x,y)\cdot \nabla f(y)\mathrm d y$?

Published on 26 Dec 2016 - 10:46

621

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Harmonic function : if $u=0$ on $\Omega $ then $u=0$ on $\partial \Omega $.

Published on 29 Dec 2016 - 14:38

440

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Let $u$ harmonic. Then $\int_{\mathbb R^d}|u|^2<\infty \implies u=0$

Published on 29 Dec 2016 - 17:07

998

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Integral formula for a Poisson equation

Published on 26 Mar 2026 - 19:38

182

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harmonic functions on connected space

Published on 05 Jan 2017 - 13:36

5.5k

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Maximum principle for harmonic functions

Published on 06 Jan 2017 - 14:29

238

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If $-\Delta u(x)+\partial _{x_1}u=0$ prove that $\sup_{\bar \Omega }u=\sup_{\partial \Omega }u$.

Published on 07 Jan 2017 - 15:49

List Question

Expressing positive symmetric function with harmonic functions

Neumann problem for Laplace Equation on $H=\{(x,y)|-\infty < x < \infty, y>0\}$

Fourier transform problem - Keep messing up a sign.

Solve equation applying the Laplace transform

How to estimate the error of a numerical solution of the Laplace equation?

Harmonic series (ln-series)?

Why is the spectrum of the Laplace operator positive?

Fourier Transform - Laplace Equation on infinite strip - weird solution involving series

Why $-\Delta u(x)=-\int_{\mathbb R^d}\nabla _xG(x,y)\cdot \nabla f(y)\mathrm d y=\int_{\mathbb R^d}\nabla _y G(x,y)\cdot \nabla f(y)\mathrm d y$?

Harmonic function : if $u=0$ on $\Omega $ then $u=0$ on $\partial \Omega $.

Let $u$ harmonic. Then $\int_{\mathbb R^d}|u|^2<\infty \implies u=0$

Integral formula for a Poisson equation

harmonic functions on connected space

Maximum principle for harmonic functions

If $-\Delta u(x)+\partial _{x_1}u=0$ prove that $\sup_{\bar \Omega }u=\sup_{\partial \Omega }u$.

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