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- Dirichlet's_principle abstract "In mathematics, Dirichlet's principle in potential theory states that, if the function is the solution to Poisson's equation on a domain of with boundary condition then u can be obtained as the minimizer of the Dirichlet's energy amongst all twice differentiable functions such that on (provided that there exists at least one function making the Dirichlet's integral finite). This concept is named after the German mathematician Peter Gustav Lejeune Dirichlet.Since the Dirichlet's integral is bounded from below, the existence of an infimum is guaranteed. That this infimum is attained was taken for granted by Riemann (who coined the term Dirichlet's principle) and others until Weierstrass gave an example of a functional that does not attain its minimum. Hilbert later justified Riemann's use of Dirichlet's principle.".
- Dirichlet's_principle wikiPageID "1240011".
- Dirichlet's_principle wikiPageRevisionID "585171166".
- Dirichlet's_principle hasPhotoCollection Dirichlet's_principle.
- Dirichlet's_principle title "Dirichlet's Principle".
- Dirichlet's_principle urlname "DirichletsPrinciple".
- Dirichlet's_principle subject Category:Calculus_of_variations.
- Dirichlet's_principle subject Category:Harmonic_functions.
- Dirichlet's_principle subject Category:Mathematical_principles.
- Dirichlet's_principle subject Category:Partial_differential_equations.
- Dirichlet's_principle type Abstraction100002137.
- Dirichlet's_principle type Cognition100023271.
- Dirichlet's_principle type Communication100033020.
- Dirichlet's_principle type Content105809192.
- Dirichlet's_principle type DifferentialEquation106670521.
- Dirichlet's_principle type Equation106669864.
- Dirichlet's_principle type Function113783816.
- Dirichlet's_principle type Generalization105913275.
- Dirichlet's_principle type HarmonicFunctions.
- Dirichlet's_principle type Idea105833840.
- Dirichlet's_principle type MathematicalPrinciples.
- Dirichlet's_principle type MathematicalRelation113783581.
- Dirichlet's_principle type MathematicalStatement106732169.
- Dirichlet's_principle type Message106598915.
- Dirichlet's_principle type PartialDifferentialEquation106670866.
- Dirichlet's_principle type PartialDifferentialEquations.
- Dirichlet's_principle type Principle105913538.
- Dirichlet's_principle type PsychologicalFeature100023100.
- Dirichlet's_principle type Relation100031921.
- Dirichlet's_principle type Statement106722453.
- Dirichlet's_principle comment "In mathematics, Dirichlet's principle in potential theory states that, if the function is the solution to Poisson's equation on a domain of with boundary condition then u can be obtained as the minimizer of the Dirichlet's energy amongst all twice differentiable functions such that on (provided that there exists at least one function making the Dirichlet's integral finite).".
- Dirichlet's_principle label "Dirichlet's principle".
- Dirichlet's_principle label "Dirichlet-Prinzip".
- Dirichlet's_principle label "Principe de Dirichlet".
- Dirichlet's_principle label "Principe van Dirichlet".
- Dirichlet's_principle label "Principio de Dirichlet (teoría del potencial)".
- Dirichlet's_principle label "Princípio de Dirichlet".
- Dirichlet's_principle label "Принцип Дирихле (математическая физика)".
- Dirichlet's_principle label "ディリクレの原理".
- Dirichlet's_principle label "狄利克雷原理".
- Dirichlet's_principle sameAs Dirichlet-Prinzip.
- Dirichlet's_principle sameAs Principio_de_Dirichlet_(teoría_del_potencial).
- Dirichlet's_principle sameAs Principe_de_Dirichlet.
- Dirichlet's_principle sameAs ディリクレの原理.
- Dirichlet's_principle sameAs Principe_van_Dirichlet.
- Dirichlet's_principle sameAs Princípio_de_Dirichlet.
- Dirichlet's_principle sameAs m.04l9h9.
- Dirichlet's_principle sameAs Q975727.
- Dirichlet's_principle sameAs Q975727.
- Dirichlet's_principle sameAs Dirichlet's_principle.
- Dirichlet's_principle wasDerivedFrom Dirichlet's_principle?oldid=585171166.
- Dirichlet's_principle isPrimaryTopicOf Dirichlet's_principle.