List questions from eigenfunctions

Published on 03 Apr 2018 - 11:56

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Is a Sturm-Liouville operator the only 2nd order linear differential operator that is self-adjoint/Hermitian?

Published on 22 Mar 2026 - 16:32

437

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Explain why no boundary conditions are needed

Published on 25 Mar 2026 - 4:57

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eigenvector of compositions implies eigenvector of respective functions in composition?

Published on 10 Apr 2018 - 16:56

437

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If an operator has a discrete spectrum eigenvalues, but infinitely many eigenvalues, are these necessarily countable?

Published on 25 Mar 2026 - 6:00

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What is the physical interpretation of this boundary condition for a circular disk?

Published on 24 Mar 2026 - 15:06

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Why Does the Characteristic Equation of a Differential Equation Depend on the Solution?

Published on 25 Mar 2026 - 0:41

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Considering $\nabla^2\phi + \lambda\phi = 0$ with boundary condition $\phi + a\nabla\phi \cdot n = 0$, for what $a$ is $\lambda \geq 0$?

Published on 22 Mar 2026 - 6:40

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$L=-\frac{d^2}{dx^2}, 0\leq x<\infty$ with self adjoint boundary conditions $\psi(0)/\psi'(0)=\tan \theta$ for some fixed angle $\theta$.

Published on 25 Apr 2018 - 0:33

28

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About symmetric conditions and $XX'|_a^b\le0$

Published on 24 Mar 2026 - 16:07

61

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Why $\sum_nA_n(X_n,X_m)=A_m(X_m,X_m)$?

Published on 25 Mar 2026 - 3:37

466

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Find the eigenvalues and eigenfunctions of the operator

Published on 09 May 2018 - 8:25

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How and why the eigenfunctions were computed like that?

Published on 10 May 2018 - 1:36

362

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Self-Adjoint Operator on Even Periodic Functions

Published on 22 Mar 2026 - 16:46

159

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Trick to prove orthogonality for eigenfunctions?

Published on 12 May 2018 - 7:24

List Question

Non existence of shape derivative of the eigenvalue of Dirichlet Laplacian

Is a Sturm-Liouville operator the only 2nd order linear differential operator that is self-adjoint/Hermitian?

Explain why no boundary conditions are needed

eigenvector of compositions implies eigenvector of respective functions in composition?

If an operator has a discrete spectrum eigenvalues, but infinitely many eigenvalues, are these necessarily countable?

What is the physical interpretation of this boundary condition for a circular disk?

Why Does the Characteristic Equation of a Differential Equation Depend on the Solution?

Considering $\nabla^2\phi + \lambda\phi = 0$ with boundary condition $\phi + a\nabla\phi \cdot n = 0$, for what $a$ is $\lambda \geq 0$?

$L=-\frac{d^2}{dx^2}, 0\leq x<\infty$ with self adjoint boundary conditions $\psi(0)/\psi'(0)=\tan \theta$ for some fixed angle $\theta$.

About symmetric conditions and $XX'|_a^b\le0$

Why $\sum_nA_n(X_n,X_m)=A_m(X_m,X_m)$?

Find the eigenvalues and eigenfunctions of the operator

How and why the eigenfunctions were computed like that?

Self-Adjoint Operator on Even Periodic Functions

Trick to prove orthogonality for eigenfunctions?

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