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Parametrix

In mathematics, and specifically the field of partial differential equations (PDEs), a parametrix is an approximation to a fundamental solution of a PDE, and is essentially an approximate inverse to a differential operator.

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Overview and informal definition

10 related topics

Hadamard parametrix construction

7 related topics

Parametrices for pseudodifferential operators

2 related topics

Construction of a fundamental solution from a parametrix

1 related topics

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Overview

Overview and informal definition

Parametrices for pseudodifferential operators

Hadamard parametrix construction

Construction of a fundamental solution from a parametrix

Advanced semantic analysis

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Map overview Semantic statistics

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Parametrix

Nodes29
Edges28
Triples80
Avg. degree1.93
Density0.068966
Components1

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Parametrix

Top relations

related to References · 63
Parametrix → Bejancu, Berlin, BF03015067, BFb0064643, Cauchy, Cauchy's, Circolo Matematico, Classe, Complex Manifolds, Differential Analysis, Dover Phoenix, Dover Publications, Edmond, EMS PressBerger, Encyclopedia, Eugenio Elia, French, Gauduchon, Grundlehren, Heidelberg
related to Hadamard parametrix construction · 7
Parametrix → An, Hadamard's, In, It, Jacques Hadamard, Laplace, The
related to Construction of a fundamental solution from a parametrix · 4
Parametrix → Berger, Gauduchon, If, Mazet
related to Parametrices for pseudodifferential operators · 4
Parametrix → Hs, More, Sobolev, The
is a · 2
Parametrix → approximation to a fundamental solution of a PDE, useful concept in the study of elliptic differential operators and

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Important terminology

solution differential fundamental operator operators partial isbn zbl jfm series construct power new york good doi mr pseudodifferential hadamard mathematics

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Parametrixis aapproximation to a fundamental solution of a PDE0.90text
Parametrixis auseful concept in the study of elliptic differential operators and0.90text
Parametrixrelated to Construction of a fundamental solution from a parametrixBerger0.60section
Parametrixrelated to Construction of a fundamental solution from a parametrixGauduchon0.60section
Parametrixrelated to Construction of a fundamental solution from a parametrixMazet0.60section
Parametrixrelated to Construction of a fundamental solution from a parametrixIf0.60section
Parametrixrelated to Hadamard parametrix constructionAn0.60section
Parametrixrelated to Hadamard parametrix constructionJacques Hadamard0.60section
Parametrixrelated to Hadamard parametrix constructionIt0.60section
Parametrixrelated to Hadamard parametrix constructionLaplace0.60section
Parametrixrelated to Hadamard parametrix constructionIn0.60section
Parametrixrelated to Hadamard parametrix constructionHadamard's0.60section

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