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Backwards PDE with Gaussian Kernel

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#calculus #partial-differential-equations #gaussian-integral #fundamental-solution
466
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Fundamental solution of Laplacian in 2d doesn't agree with 3d version physically?

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#partial-differential-equations #laplacian #greens-function #fundamental-solution
16.7k
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Fundamental set of solutions to a differential equation

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#ordinary-differential-equations #fundamental-solution
167
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Fundamental system of solutions and Green`s function

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#ordinary-differential-equations #greens-function #fundamental-solution
153
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Fundamental solution matrix of a linear PDE

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#partial-differential-equations #fundamental-solution
201
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Under the given conditions. Prove that $\lim_{t\to\infty} u(x, t) = 0 $, uniformly in x.

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#ordinary-differential-equations #partial-differential-equations #heat-equation #fundamental-solution
233
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Solving this non-linear PDE (which reminds of a linear parabolic PDE)

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#calculus #real-analysis #ordinary-differential-equations #partial-differential-equations #fundamental-solution
1.4k
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Solving a nonhomogeneous linear system using variation of parameters

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#linear-algebra #ordinary-differential-equations #eigenvalues-eigenvectors #fundamental-solution
54
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Fundamental solution to $\frac{\mathrm{d}^2}{\mathrm{d}x^2}=I(x)$

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#partial-differential-equations #convolution #greens-function #fundamental-solution
56
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Fundamental principles of counting

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#divisor-counting-function #fundamental-solution
3.9k
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Fundamental solution for Helmholtz equation in higher dimensions

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#analysis #partial-differential-equations #special-functions #greens-function #fundamental-solution
54
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solution to $x=\log(x)+c$, not through numerical method

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#proof-verification #fundamental-solution
129
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Linear ODE with one periodic coefficient

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#functional-analysis #analysis #ordinary-differential-equations #stability-in-odes #fundamental-solution
383
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Deriving the fundamental solution for the Helmholtz operator in $\mathbb{R}$

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#partial-differential-equations #fourier-analysis #distribution-theory #fourier-transform #fundamental-solution
101
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Solving linear recurrence equation $x_{n+3}-x_n=2n+3\sin\frac{2n\pi}{3}$

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#recurrence-relations #recursion #fundamental-solution

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