List questions from eigenfunctions

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Solving a coupled ODE

Published on 26 Apr 2021 - 15:59

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eigenfunctions meaning from linear algebra

Published on 27 Mar 2026 - 11:45

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Poissons equation- eigenvalue problem meaning

Published on 03 May 2021 - 15:29

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Eigendecomposition of the derivative operator?

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Is the eigenfunction corresponding to the principal eigenvalue positive within $U$ when $a^{ij} \in L^\infty(U)$?

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Second order linear ODE with nonconstant coefficients: Why can we not use the ansatz $e^{\lambda x}$?

Published on 08 May 2021 - 1:14

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Find the eigenvalues and eigenfunctions of the following integral equation.

Published on 13 May 2021 - 21:20

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How to find eigenvalues and eigenfunctions of Sturm-Liouville problem?

Published on 23 May 2021 - 16:21

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If $\|v\|_Y=(\sum_{i=1}^\infty c_i^2)^{1/2}$ and $\|v\|_X=(\sum_{i=1}^\infty\lambda_ic_i^2)^{1/2}$, is $X$ compactly embedded into $Y$?

Published on 24 May 2021 - 14:50

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Prove that all the eigenvalues of the following Sturm–Liouville problem are positive: $u'' + (\lambda -x^2)u = 0$ $\hspace{0.5cm}$ $0< x < \infty$

Published on 02 Jun 2021 - 0:34

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If $\Omega\subseteq\mathbb R^d$ is sufficiently nice, does it hold $L^\infty(\Omega)\subseteq H^1(\Omega)$?

Published on 03 Jun 2021 - 19:15

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Eigenfunction expansion and boundary conditions - understanding the nuances

Published on 05 Jun 2021 - 10:15

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Find the eigenvalues and eigenfunctions of the Sturm-Liouville problem $x^4 y'' + k^2 y = 0$

Published on 07 Jun 2021 - 5:57

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Eigenfunction for an ODE with initial condition and corresponding eigenvalue

Published on 10 Jun 2021 - 22:44

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Hilbert space representation in $H_0^1$

Solving a coupled ODE

eigenfunctions meaning from linear algebra

Poissons equation- eigenvalue problem meaning

Eigendecomposition of the derivative operator?

Is the eigenfunction corresponding to the principal eigenvalue positive within $U$ when $a^{ij} \in L^\infty(U)$?

Second order linear ODE with nonconstant coefficients: Why can we not use the ansatz $e^{\lambda x}$?

Find the eigenvalues and eigenfunctions of the following integral equation.

How to find eigenvalues and eigenfunctions of Sturm-Liouville problem?

If $\|v\|_Y=(\sum_{i=1}^\infty c_i^2)^{1/2}$ and $\|v\|_X=(\sum_{i=1}^\infty\lambda_ic_i^2)^{1/2}$, is $X$ compactly embedded into $Y$?

Prove that all the eigenvalues of the following Sturm–Liouville problem are positive: $u'' + (\lambda -x^2)u = 0$ $\hspace{0.5cm}$ $0< x < \infty$

If $\Omega\subseteq\mathbb R^d$ is sufficiently nice, does it hold $L^\infty(\Omega)\subseteq H^1(\Omega)$?

Eigenfunction expansion and boundary conditions - understanding the nuances

Find the eigenvalues and eigenfunctions of the Sturm-Liouville problem $x^4 y'' + k^2 y = 0$

Eigenfunction for an ODE with initial condition and corresponding eigenvalue

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