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- Fundamental_solution abstract "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. In terms of the Dirac delta "function" δ(x), a fundamental solution F is the solution of the inhomogeneous equationLF = δ(x).Here F is a priori only assumed to be a Schwartz distribution.This concept was long known for the Laplacian in two and three dimensions. It was investigated for all dimensions for the Laplacian by Marcel Riesz. The existence of a fundamental solution for any operator with constant coefficients — the most important case, directly linked to the possibility of using convolution to solve an arbitrary right hand side — was shown by Bernard Malgrange and Leon Ehrenpreis.".
- Fundamental_solution wikiPageID "1820858".
- Fundamental_solution wikiPageRevisionID "598807712".
- Fundamental_solution hasPhotoCollection Fundamental_solution.
- Fundamental_solution id "f/f042250".
- Fundamental_solution title "Fundamental solution".
- Fundamental_solution subject Category:Generalized_functions.
- Fundamental_solution subject Category:Partial_differential_equations.
- Fundamental_solution type Abstraction100002137.
- Fundamental_solution type Communication100033020.
- Fundamental_solution type DifferentialEquation106670521.
- Fundamental_solution type Equation106669864.
- Fundamental_solution type Function113783816.
- Fundamental_solution type GeneralizedFunctions.
- Fundamental_solution type MathematicalRelation113783581.
- Fundamental_solution type MathematicalStatement106732169.
- Fundamental_solution type Message106598915.
- Fundamental_solution type PartialDifferentialEquation106670866.
- Fundamental_solution type PartialDifferentialEquations.
- Fundamental_solution type Relation100031921.
- Fundamental_solution type Statement106722453.
- Fundamental_solution comment "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. In terms of the Dirac delta "function" δ(x), a fundamental solution F is the solution of the inhomogeneous equationLF = δ(x).Here F is a priori only assumed to be a Schwartz distribution.This concept was long known for the Laplacian in two and three dimensions.".
- Fundamental_solution label "Fundamental solution".
- Fundamental_solution label "Fundamentallösung".
- Fundamental_solution label "Solución fundamental".
- Fundamental_solution label "Solução fundamental".
- Fundamental_solution label "基本解".
- Fundamental_solution sameAs Fundamentallösung.
- Fundamental_solution sameAs Solución_fundamental.
- Fundamental_solution sameAs 基本解.
- Fundamental_solution sameAs Solução_fundamental.
- Fundamental_solution sameAs m.05zkh8.
- Fundamental_solution sameAs Q1474123.
- Fundamental_solution sameAs Q1474123.
- Fundamental_solution sameAs Fundamental_solution.
- Fundamental_solution wasDerivedFrom Fundamental_solution?oldid=598807712.
- Fundamental_solution isPrimaryTopicOf Fundamental_solution.