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Fundamental solution

In mathematics, a fundamental solution for a linear partial differential operator L is a formulation in the language of distribution theory of the older idea of a Green's function (although unlike Green's functions, fundamental solutions do not address boundary conditions).

Art, Overview & Fundamental solutions for some partial differential equations

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Fundamental solutions for some partial differential equations

Signal processing

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Fundamental solution

Nodes37
Edges36
Triples35
Avg. degree1.95
Density0.054054
Components1

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Fundamental solution

Top relations

related to References · 7
Fundamental solution → EMS Press, Encyclopedia, For, Fundamental, Green's, Mathematics, Shijue Wu
related to Proof that the convolution is a solution · 6
Fundamental solution → Denote, If, Lf, Say, We, When
related to Screened Poisson equation · 6
Fundamental solution → Bessel, Delta, For, In, Phi, Poisson
related to Biharmonic equation · 4
Fundamental solution → Biharmonic, Delta, For, Phi
related to Laplace equation · 4
Fundamental solution → Delta, For, Laplace, Phi
related to Example · 3
Fundamental solution → Consider, Lf, The
related to Application to the example · 2
Fundamental solution → Consider, We
related to Motivation · 2
Fundamental solution → Fundamental, Once
related to Signal processing · 1
Fundamental solution → In

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solution fundamental displaystyle equation convolution solutions frac function differential delta dx operator dimensions lf sin constant side partial distribution laplacian

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SubjectPredicateObjectConfidenceSrc
Fundamental solutionrelated to Application to the exampleConsider0.60section
Fundamental solutionrelated to Application to the exampleWe0.60section
Fundamental solutionrelated to Biharmonic equationFor0.60section
Fundamental solutionrelated to Biharmonic equationBiharmonic0.60section
Fundamental solutionrelated to Biharmonic equationDelta0.60section
Fundamental solutionrelated to Biharmonic equationPhi0.60section
Fundamental solutionrelated to ExampleConsider0.60section
Fundamental solutionrelated to ExampleLf0.60section
Fundamental solutionrelated to ExampleThe0.60section
Fundamental solutionrelated to Laplace equationFor0.60section
Fundamental solutionrelated to Laplace equationLaplace0.60section
Fundamental solutionrelated to Laplace equationDelta0.60section

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