Question

How does this proof for the solution of Dirichlet's problem work?

score 95 · Answer 1 · 2023-08-20 11:08:03

95

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How does this proof for the solution of Dirichlet's problem work?

Published on 20 Aug 2023 - 11:08

score 34 · Answer 2 · 2023-08-30 21:11:27

34

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I need a Boundary Value Problem to test for the wikipedia table of Green's functions

Published on 30 Aug 2023 - 21:11

score 79 · Answer 3 · 2023-09-03 16:28:02

79

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Solving two coupled ODEs with delta function sources

Published on 03 Sep 2023 - 16:28

score 27 · Answer 4 · 2023-09-03 19:47:14

27

Views

Solution to a dirichlet problem

Published on 03 Sep 2023 - 19:47

score 85 · Answer 5 · 2023-09-04 15:50:01

85

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A limit about a harmonic function

Published on 04 Sep 2023 - 15:50

score 77 · Answer 6 · 2023-09-08 21:19:11

77

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How to show that the value of the heat kernel decreases as we move away from the heat source for a bounded domain?

Published on 08 Sep 2023 - 21:19

score 32 · Answer 7 · 2026-03-25 12:53:38

32

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Smoothness of heat kernel on Lipschitz and polygon (cornered) domain

Published on 25 Mar 2026 - 12:53

score 89 · Answer 8 · 2023-09-13 20:42:00

89

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Help with finding N-point functions with some properties

Published on 13 Sep 2023 - 20:42

score 105 · Answer 9 · 2023-09-16 02:09:36

105

Views

Solving a differential equation using Green's function where the Forcing term is a single square wave. Did I do this right?

Published on 16 Sep 2023 - 2:09

score 77 · Answer 10 · 2026-02-23 05:09:50

77

Views

Dirac delta doublet function in simple harmonic oscillation. Conditions imposed?

Published on 23 Feb 2026 - 5:09

score 64 · Answer 11 · 2023-09-25 10:07:08

64

Views

Green's Function for Parabolic PDE with Time-dependent Coefficients

Published on 25 Sep 2023 - 10:07

score 103 · Answer 12 · 2023-09-25 15:49:59

103

Views

Find the Green's function of the differential operator for periodic boundaries.

Published on 25 Sep 2023 - 15:49

score 31 · Answer 13 · 2026-03-26 13:01:07

31

Views

evaluate integral with the kernel of Green function (fundamental solution of Poisson equation) of infinite domain using conformal map

Published on 26 Mar 2026 - 13:01

score 35 · Answer 14 · 2023-10-06 00:08:13

Proving that $u(x)=\frac{1}{4 \pi} \int_{\mathbb{R}^3} f(y) \frac{e^{-i k |x -y|}}{|x-y|} d^3 y$ obeys $L u(x) = -f(x)$ for $L=\Delta + k^2$

score 33 · Answer 15 · 2023-10-06 19:03:29

33

Views

Need help unpacking this equation. Finite difference form of solution to PDE using Green's function has a cross product symbol in it.

Published on 06 Oct 2023 - 19:03

List Question

How does this proof for the solution of Dirichlet's problem work?

I need a Boundary Value Problem to test for the wikipedia table of Green's functions

Solving two coupled ODEs with delta function sources

Solution to a dirichlet problem

A limit about a harmonic function

How to show that the value of the heat kernel decreases as we move away from the heat source for a bounded domain?

Smoothness of heat kernel on Lipschitz and polygon (cornered) domain

Help with finding N-point functions with some properties

Solving a differential equation using Green's function where the Forcing term is a single square wave. Did I do this right?

Dirac delta doublet function in simple harmonic oscillation. Conditions imposed?

Green's Function for Parabolic PDE with Time-dependent Coefficients

Find the Green's function of the differential operator for periodic boundaries.

evaluate integral with the kernel of Green function (fundamental solution of Poisson equation) of infinite domain using conformal map

Proving that $u(x)=\frac{1}{4 \pi} \int_{\mathbb{R}^3} f(y) \frac{e^{-i k |x -y|}}{|x-y|} d^3 y$ obeys $L u(x) = -f(x)$ for $L=\Delta + k^2$

Need help unpacking this equation. Finite difference form of solution to PDE using Green's function has a cross product symbol in it.

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