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- Harnack's_inequality abstract "In mathematics, Harnack's inequality is an inequality relating the values of a positive harmonic function at two points, introduced by A. Harnack (1887). J. Serrin (1955) and J. Moser (1961, 1964) generalized Harnack's inequality to solutions of elliptic or parabolic partial differential equations. Perelman's solution of the Poincaré conjecture uses a version of the Harnack inequality, found by R. Hamilton (1993), for the Ricci flow. Harnack's inequality is used to prove Harnack's theorem about the convergence of sequences of harmonic functions. Harnack's inequality also implies the regularity of the function in the interior of its domain.".
- Harnack's_inequality thumbnail Harnack.png?width=300.
- Harnack's_inequality wikiPageExternalLink vorlesunganwend00weierich.
- Harnack's_inequality wikiPageID "2976061".
- Harnack's_inequality wikiPageRevisionID "585358536".
- Harnack's_inequality authorlink "Carl Gustav Axel Harnack".
- Harnack's_inequality authorlink "James Serrin".
- Harnack's_inequality authorlink "Jürgen Moser".
- Harnack's_inequality first "A.".
- Harnack's_inequality first "J.".
- Harnack's_inequality first "L.I.".
- Harnack's_inequality first "L.P.".
- Harnack's_inequality hasPhotoCollection Harnack's_inequality.
- Harnack's_inequality id "H/h046600".
- Harnack's_inequality id "h/h046620".
- Harnack's_inequality last "Harnack".
- Harnack's_inequality last "Kamynin".
- Harnack's_inequality last "Kuptsov".
- Harnack's_inequality last "Moser".
- Harnack's_inequality last "Serrin".
- Harnack's_inequality title "Harnack theorem".
- Harnack's_inequality year "1887".
- Harnack's_inequality year "1955".
- Harnack's_inequality year "1961".
- Harnack's_inequality year "1964".
- Harnack's_inequality subject Category:Harmonic_functions.
- Harnack's_inequality subject Category:Inequalities.
- Harnack's_inequality type Abstraction100002137.
- Harnack's_inequality type Attribute100024264.
- Harnack's_inequality type Difference104748836.
- Harnack's_inequality type Function113783816.
- Harnack's_inequality type HarmonicFunctions.
- Harnack's_inequality type Inequalities.
- Harnack's_inequality type Inequality104752221.
- Harnack's_inequality type MathematicalRelation113783581.
- Harnack's_inequality type Quality104723816.
- Harnack's_inequality type Relation100031921.
- Harnack's_inequality comment "In mathematics, Harnack's inequality is an inequality relating the values of a positive harmonic function at two points, introduced by A. Harnack (1887). J. Serrin (1955) and J. Moser (1961, 1964) generalized Harnack's inequality to solutions of elliptic or parabolic partial differential equations. Perelman's solution of the Poincaré conjecture uses a version of the Harnack inequality, found by R. Hamilton (1993), for the Ricci flow.".
- Harnack's_inequality label "Harnack's inequality".
- Harnack's_inequality label "Harnack-Ungleichung".
- Harnack's_inequality label "Nierówność Harnacka".
- Harnack's_inequality label "Ongelijkheid van Harnack".
- Harnack's_inequality sameAs Harnack-Ungleichung.
- Harnack's_inequality sameAs 하르나크의_부등식.
- Harnack's_inequality sameAs Ongelijkheid_van_Harnack.
- Harnack's_inequality sameAs Nierówność_Harnacka.
- Harnack's_inequality sameAs m.08h5l5.
- Harnack's_inequality sameAs Q868279.
- Harnack's_inequality sameAs Q868279.
- Harnack's_inequality sameAs Harnack's_inequality.
- Harnack's_inequality wasDerivedFrom Harnack's_inequality?oldid=585358536.
- Harnack's_inequality depiction Harnack.png.
- Harnack's_inequality isPrimaryTopicOf Harnack's_inequality.