Question

Geodesics and Laplace-Beltrami eigenfunctions

score 94 · Answer 1 · 2026-03-26 22:17:28

94

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Geodesics and Laplace-Beltrami eigenfunctions

Published on 26 Mar 2026 - 22:17

score 52 · Answer 2 · 2023-10-27 18:53:30

52

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Solving $\Delta u\equiv0$ on $x^2+y^2\leq1$ with $u_r(1,\theta)=3\sin(2 \theta)+1$

Published on 27 Oct 2023 - 18:53

score 32 · Answer 3 · 2026-03-27 12:03:01

32

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Am I correct in thinking that a linear differential operator can have multiple Green's functions

Published on 27 Mar 2026 - 12:03

score 78 · Answer 4 · 2023-11-09 19:22:59

78

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How to approach the following boundary value problem on the unit ball: $\Delta u(x,y)=| x|$, $u(x,y)=0$ for $x^{2}+y^{2}=1$

Published on 09 Nov 2023 - 19:22

score 27 · Answer 5 · 2026-03-25 17:52:05

27

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Do analytic eigenvalue branches of the Robin problem converge?

Published on 25 Mar 2026 - 17:52

score 92 · Answer 6 · 2026-03-26 06:31:05

92

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Laplace-Beltrami operator self-adjoint in context of Markov processes and their infinitesimal generators

Published on 26 Mar 2026 - 6:31

score 142 · Answer 7 · 2023-11-17 11:24:42

142

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Scalar differential operator commuting with isometries

Published on 17 Nov 2023 - 11:24

score 73 · Answer 8 · 2026-03-28 08:50:05

73

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If $u \in L^p$ and $\Delta u \in L^p$ as well, do we necessarily have $u \in W^{2,p}$ for $1<p<\infty$?

Published on 28 Mar 2026 - 8:50

score 30 · Answer 9 · 2023-11-24 14:53:17

30

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Can the Laplacian be non-zero over a surface (and not just a curve)?

Published on 24 Nov 2023 - 14:53

score 33 · Answer 10 · 2023-11-27 19:32:42

33

Views

Polar Laplace equation on half disk

Published on 27 Nov 2023 - 19:32

score 26 · Answer 11 · 2026-03-27 12:07:57

26

Views

Free space vector Helmholtz equation with spherically symmetric source

Published on 27 Mar 2026 - 12:07

score 47 · Answer 12 · 2026-03-28 12:58:17

47

Views

Why are solutions to PDEs eigenfunctions of the symmetry generators?

Published on 28 Mar 2026 - 12:58

score 23 · Answer 13 · 2026-03-26 00:53:58

23

Views

How to obtain the standard Laplacian as a particular case of the Fractional Laplacian?

Published on 26 Mar 2026 - 0:53

score 44 · Answer 14 · 2026-03-26 01:06:10

44

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Questions on Sobolev Spaces and the Laplacian Operator

Published on 26 Mar 2026 - 1:06

score 50 · Answer 15 · 2026-03-28 09:57:15

50

Views

Calculate the Laplacian of $\frac{e^{ikr}}r$ in spherical coordinates

Published on 28 Mar 2026 - 9:57

List Question

Geodesics and Laplace-Beltrami eigenfunctions

Solving $\Delta u\equiv0$ on $x^2+y^2\leq1$ with $u_r(1,\theta)=3\sin(2 \theta)+1$

Am I correct in thinking that a linear differential operator can have multiple Green's functions

How to approach the following boundary value problem on the unit ball: $\Delta u(x,y)=| x|$, $u(x,y)=0$ for $x^{2}+y^{2}=1$

Do analytic eigenvalue branches of the Robin problem converge?

Laplace-Beltrami operator self-adjoint in context of Markov processes and their infinitesimal generators

Scalar differential operator commuting with isometries

If $u \in L^p$ and $\Delta u \in L^p$ as well, do we necessarily have $u \in W^{2,p}$ for $1<p<\infty$?

Can the Laplacian be non-zero over a surface (and not just a curve)?

Polar Laplace equation on half disk

Free space vector Helmholtz equation with spherically symmetric source

Why are solutions to PDEs eigenfunctions of the symmetry generators?

How to obtain the standard Laplacian as a particular case of the Fractional Laplacian?

Questions on Sobolev Spaces and the Laplacian Operator

Calculate the Laplacian of $\frac{e^{ikr}}r$ in spherical coordinates

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