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Prove $F(r)=Cr^2\log(r)$ is a fundamental solution for $\Delta^2$ in $\mathbb R^2$

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#functional-analysis #partial-differential-equations #proof-verification #harmonic-functions #fundamental-solution
652
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The heat kernel as a fundamental solution

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#partial-differential-equations #heat-equation #fundamental-solution
113
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Existence of fundamental solutions of Heston's PDE

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#partial-differential-equations #fundamental-solution
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Derivative of the fundamental solution of the heat equation

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#real-analysis #analysis #inequality #heat-equation #fundamental-solution
245
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From fundamental solution to differential equation.

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#ordinary-differential-equations #fundamental-solution
643
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Green function for a second-order elliptic PDE

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#partial-differential-equations #mathematical-physics #elliptic-operators #fundamental-solution
214
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Find fundamental solution of differential equations

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#ordinary-differential-equations #fundamental-solution
138
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assumption such that the explicit formula of heat equation holds

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#partial-differential-equations #heat-equation #fundamental-solution
110
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Fundamental solution of the derivative operator

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#distribution-theory #dirac-delta #fundamental-solution
973
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Second order linear ODE with polynomial coefficients

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#ordinary-differential-equations #physics #fundamental-solution
47
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Existence of Differential Operator for Fundamental solution

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#partial-differential-equations #greens-function #fundamental-solution
135
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Differential equation $y[1+(y')^2]=c$ with $c$ an arbitrary constant, verifying solutions

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#ordinary-differential-equations #derivatives #fundamental-solution
44
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Fundamental solution of differential equation

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#partial-differential-equations #fundamental-solution
1.3k
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How to find the fundamental matrix?

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#ordinary-differential-equations #dynamical-systems #fundamental-solution
51
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Find number of integral solutions for $x+y+z= -20$ such that $x,y,z$ are negative integral multiples of $4$?

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#sequences-and-series #combinatorics #fundamental-solution

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