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- Maximum_principle abstract "This article describes the maximum principle in the theory of partial differential equations. For the maximum principle in optimal control theory, see Pontryagin's minimum principle.In mathematics, the maximum principle is a property of solutions to certain partial differential equations, of the elliptic and parabolic types. Roughly speaking, it says that the maximum of a function in a domain is to be found on the boundary of that domain. Specifically, the strong maximum principle says that if a function achieves its maximum in the interior of the domain, the function is uniformly a constant. The weak maximum principle says that the maximum of the function is to be found on the boundary, but may re-occur in the interior as well. Other, even weaker maximum principles exist which merely bound a function in terms of its maximum on the boundary. In convex optimization, the maximum principle states that the maximum of a convex function on a compact convex set is attained on the boundary.".
- Maximum_principle wikiPageID "1436104".
- Maximum_principle wikiPageRevisionID "546502732".
- Maximum_principle hasPhotoCollection Maximum_principle.
- Maximum_principle subject Category:Harmonic_functions.
- Maximum_principle subject Category:Mathematical_principles.
- Maximum_principle subject Category:Partial_differential_equations.
- Maximum_principle type Abstraction100002137.
- Maximum_principle type Cognition100023271.
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- Maximum_principle type Content105809192.
- Maximum_principle type DifferentialEquation106670521.
- Maximum_principle type Equation106669864.
- Maximum_principle type Function113783816.
- Maximum_principle type Generalization105913275.
- Maximum_principle type HarmonicFunctions.
- Maximum_principle type Idea105833840.
- Maximum_principle type MathematicalPrinciples.
- Maximum_principle type MathematicalRelation113783581.
- Maximum_principle type MathematicalStatement106732169.
- Maximum_principle type Message106598915.
- Maximum_principle type PartialDifferentialEquation106670866.
- Maximum_principle type PartialDifferentialEquations.
- Maximum_principle type Principle105913538.
- Maximum_principle type PsychologicalFeature100023100.
- Maximum_principle type Relation100031921.
- Maximum_principle type Statement106722453.
- Maximum_principle comment "This article describes the maximum principle in the theory of partial differential equations. For the maximum principle in optimal control theory, see Pontryagin's minimum principle.In mathematics, the maximum principle is a property of solutions to certain partial differential equations, of the elliptic and parabolic types. Roughly speaking, it says that the maximum of a function in a domain is to be found on the boundary of that domain.".
- Maximum_principle label "Maximum principle".
- Maximum_principle label "Maximumprinzip (Mathematik)".
- Maximum_principle label "Principe du maximum (équations aux dérivées partielles)".
- Maximum_principle label "Princípio do máximo".
- Maximum_principle label "最大値原理".
- Maximum_principle sameAs Maximumprinzip_(Mathematik).
- Maximum_principle sameAs Principe_du_maximum_(équations_aux_dérivées_partielles).
- Maximum_principle sameAs 最大値原理.
- Maximum_principle sameAs 최대_원리.
- Maximum_principle sameAs Princípio_do_máximo.
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- Maximum_principle sameAs Q1914255.
- Maximum_principle sameAs Q1914255.
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- Maximum_principle wasDerivedFrom Maximum_principle?oldid=546502732.
- Maximum_principle isPrimaryTopicOf Maximum_principle.