List questions from harmonic-functions

Published on 04 Feb 2022 - 12:48

96

Views

If $f$ is periodic and has derivative that is sectionally continuous then $\lim_{|n|\rightarrow\infty} n\hat{f}(n)=0$

Published on 05 Feb 2022 - 22:03

189

Views

Harmonic functions are holomorphic and antiholomorphic (can't find my mistake)?!

Published on 07 Feb 2022 - 21:43

124

Views

temperature distribution using Fourier/Laplace

Published on 28 Mar 2026 - 22:25

67

Views

Necessary and sufficient conditions for existence of solutions to $\Delta \phi = f$ on torus

Published on 19 Feb 2022 - 9:11

90

Views

Harmonic Function and Subharmonic function

Published on 28 Mar 2026 - 22:24

65

Views

Question about harmonic functions on the complement of a bounded set.

Published on 23 Feb 2022 - 3:44

42

Views

Discrete Harmonic functions converge to a harmonic function

Published on 02 Apr 2026 - 14:16

158

Views

Necessary Condition for existence of solution for Laplace equation.

Published on 28 Feb 2022 - 12:25

586

Views

Sufficient condition for existence of Neumann problem for Laplace equation.

Published on 01 Mar 2022 - 5:33

182

Views

how does a non linear term affect Simple harmonic motion

Published on 31 Mar 2026 - 5:19

168

Views

bounding the rate of the harmonic function can decay

Published on 03 Mar 2022 - 11:05

83

Views

Green's Function Computation

Published on 29 Mar 2026 - 6:27

110

Views

Fractional Sobolev space norm given by Laplace Beltrami operator

Published on 26 Mar 2026 - 14:42

256

Views

Explicit form of Harnack's inequality

Published on 02 Apr 2026 - 14:18

List Question

Find function $f$ having Fourier series $f(x)=\sum_{m=1}^\infty\frac{\cos(mx)}{1+m^2}$

If $f$ is periodic and has derivative that is sectionally continuous then $\lim_{|n|\rightarrow\infty} n\hat{f}(n)=0$

Harmonic functions are holomorphic and antiholomorphic (can't find my mistake)?!

temperature distribution using Fourier/Laplace

Necessary and sufficient conditions for existence of solutions to $\Delta \phi = f$ on torus

Harmonic Function and Subharmonic function

Question about harmonic functions on the complement of a bounded set.

Discrete Harmonic functions converge to a harmonic function

Necessary Condition for existence of solution for Laplace equation.

Sufficient condition for existence of Neumann problem for Laplace equation.

how does a non linear term affect Simple harmonic motion

bounding the rate of the harmonic function can decay

Green's Function Computation

Fractional Sobolev space norm given by Laplace Beltrami operator

Explicit form of Harnack's inequality

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