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Since $\phi_n$ and $\phi_m$ are eigenfunctions, they must satisfy the ODE ...

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#ordinary-differential-equations #orthogonality #boundary-value-problem #eigenfunctions #sturm-liouville
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Expanding the function $f(x) = 1, 0 < x < 1$ in a series of the eigenfunctions?

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#functional-analysis #ordinary-differential-equations #fourier-analysis #fourier-series #eigenfunctions
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PDE Problem on Eigenvalues and the Heat Equation

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#partial-differential-equations #partial-derivative #heat-equation #laplacian #eigenfunctions
51
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Eigenfunctions of PDE

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#partial-differential-equations #spectral-theory #eigenfunctions
55
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Finding the eigenfunctions of an operator with multiple derivatives

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#operator-theory #differential #eigenfunctions
91
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Need Help Interpreting the Sturm-Liouville Operator

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#boundary-value-problem #characteristic-functions #eigenfunctions #sturm-liouville
145
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How do I compute the eigenfunctions of an operator that contains another operator?

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#ordinary-differential-equations #quantum-mechanics #eigenfunctions
110
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find the eigen function and eigen value of differential operator

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#ordinary-differential-equations #eigenvalues-eigenvectors #bessel-functions #eigenfunctions
1.6k
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What is the relation between separation of variables and the eigenfunctions and eigenvalues for PDEs?

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#fourier-series #heat-equation #eigenfunctions
131
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Eigenvalue/function of Laplace Operator for Exterior of Disk - Reference Request

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#partial-differential-equations #eigenfunctions
323
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SO(n) as a manifold

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#manifolds #eigenfunctions
97
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What is the error I am making on getting general solutions for this Sturm-Liouville problem?

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#eigenfunctions #sturm-liouville
113
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Eigenfunctions Laplacian - Bounding the Fourier Coefficients

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#laplacian #eigenfunctions
1.5k
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Find eigenvalues and eigenfunctions for integral operator

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#eigenfunctions #integral-operators
172
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Eigenfunction of Dirichlet Laplacian on smooth domain in $\mathbb{R}^n$

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#reference-request #partial-differential-equations #laplacian #eigenfunctions #elliptic-equations

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