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Maximum principle

In the mathematical fields of differential equations and geometric analysis, the maximum principle is one of the most useful and best known tools of study. Solutions of a partial differential equation (or, more generally, of a differential inequality) in a domain D are said to satisfy the maximum principle if they achieve their maxima at the boundary of…

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The classical weak maximum principle for linear elliptic PDE

The classical strong maximum principle for linear elliptic PDE

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Maximum principle

Nodes37
Edges36
Triples130
Avg. degree1.95
Density0.054054
Components1

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Maximum principle

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related to Textbooks · 71
Maximum principle → Academic Press, American Mathematical Society, Avner, Berlin, Caffarelli, Charles, Classics, Convex, Corrected, David, Elliptic, Englewood Cliffs, Evans, Fully Nonlinear Elliptic Equations, Fundamental Principles, Gary, Gilbarg, Graduate Studies, Grundlehren, Hans
related to Research articles · 56
Maximum principle → Academic Press, Adv, Akad, Amer, An, Berlin, Calabi, Cheng, Comm, Differential, Differential Geom, Differentialgleichungen, Duke Math, Eberhard, Elementare Bemerkungen, Four-manifolds, Gidas, Hamilton, Harmonic, Hideki
is a · 2
Maximum principle → simple observation that if each eigenvalue is positive, useful tool in the numerical approximation of solutions of ordinary and partial differential equations and in the determination of bounds for the errors in such approximations.I…
see also · 1
Maximum principle → Maximum

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maximum differential principle one equations function partial equation point displaystyle boundary solutions pp analysis functions elliptic also isbn second value

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SubjectPredicateObjectConfidenceSrc
Maximum principleis auseful tool in the numerical approximation of solutions of ordinary and partial differential equations and in the determination of bounds for the errors in such approximations.I…0.90text
Maximum principleis asimple observation that if each eigenvalue is positive0.90text
Maximum principlerelated to Research articlesCalabi0.60section
Maximum principlerelated to Research articlesAn0.60section
Maximum principlerelated to Research articlesHopf's0.60section
Maximum principlerelated to Research articlesRiemannian0.60section
Maximum principlerelated to Research articlesDuke Math0.60section
Maximum principlerelated to Research articlesCheng0.60section
Maximum principlerelated to Research articlesYau0.60section
Maximum principlerelated to Research articlesDifferential0.60section
Maximum principlerelated to Research articlesComm0.60section
Maximum principlerelated to Research articlesPure Appl0.60section

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