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- Harnacks_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 can also be used to show the interior regularity of weak solutions of partial differential equations.".
- Harnacks_inequality thumbnail Harnack.png?width=300.
- Harnacks_inequality wikiPageExternalLink vorlesunganwend00weierich.
- Harnacks_inequality wikiPageID "2976061".
- Harnacks_inequality wikiPageLength "7380".
- Harnacks_inequality wikiPageOutDegree "19".
- Harnacks_inequality wikiPageRevisionID "705447528".
- Harnacks_inequality wikiPageWikiLink Category:Harmonic_functions.
- Harnacks_inequality wikiPageWikiLink Category:Inequalities.
- Harnacks_inequality wikiPageWikiLink Communications_on_Pure_and_Applied_Mathematics.
- Harnacks_inequality wikiPageWikiLink File:Harnack.png.
- Harnacks_inequality wikiPageWikiLink Grigori_Perelman.
- Harnacks_inequality wikiPageWikiLink Harmonic_function.
- Harnacks_inequality wikiPageWikiLink Harnacks_principle.
- Harnacks_inequality wikiPageWikiLink Heat_equation.
- Harnacks_inequality wikiPageWikiLink Hölder_condition.
- Harnacks_inequality wikiPageWikiLink Inequality_(mathematics).
- Harnacks_inequality wikiPageWikiLink Norm_(mathematics).
- Harnacks_inequality wikiPageWikiLink Partial_differential_equation.
- Harnacks_inequality wikiPageWikiLink Poincaré_conjecture.
- Harnacks_inequality wikiPageWikiLink Poisson_kernel.
- Harnacks_inequality wikiPageWikiLink Ricci_flow.
- Harnacks_inequality wikiPageWikiLinkText "Harnack inequalities".
- Harnacks_inequality wikiPageWikiLinkText "Harnack".
- Harnacks_inequality wikiPageWikiLinkText "Harnack's inequality".
- Harnacks_inequality authorlink "Carl Gustav Axel Harnack".
- Harnacks_inequality authorlink "James Serrin".
- Harnacks_inequality authorlink "Jürgen Moser".
- Harnacks_inequality first "A.".
- Harnacks_inequality first "J.".
- Harnacks_inequality first "L.I.".
- Harnacks_inequality first "L.P.".
- Harnacks_inequality id "H/h046600".
- Harnacks_inequality id "h/h046620".
- Harnacks_inequality last "Harnack".
- Harnacks_inequality last "Kamynin".
- Harnacks_inequality last "Kuptsov".
- Harnacks_inequality last "Moser".
- Harnacks_inequality last "Serrin".
- Harnacks_inequality title "Harnack theorem".
- Harnacks_inequality wikiPageUsesTemplate Template:Authority_control.
- Harnacks_inequality wikiPageUsesTemplate Template:Citation.
- Harnacks_inequality wikiPageUsesTemplate Template:Harvs.
- Harnacks_inequality wikiPageUsesTemplate Template:Springer.
- Harnacks_inequality year "1887".
- Harnacks_inequality year "1955".
- Harnacks_inequality year "1961".
- Harnacks_inequality year "1964".
- Harnacks_inequality subject Category:Harmonic_functions.
- Harnacks_inequality subject Category:Inequalities.
- Harnacks_inequality hypernym Inequality.
- Harnacks_inequality type Type.
- Harnacks_inequality type Function.
- Harnacks_inequality type Inequality.
- Harnacks_inequality type Relation.
- Harnacks_inequality type Theorem.
- Harnacks_inequality type Type.
- Harnacks_inequality type Thing.
- Harnacks_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.".
- Harnacks_inequality label "Harnack's inequality".
- Harnacks_inequality sameAs Q868279.
- Harnacks_inequality sameAs Desigualtat_de_Harnack.
- Harnacks_inequality sameAs Harnack-Ungleichung.
- Harnacks_inequality sameAs ハルナックの不等式.
- Harnacks_inequality sameAs 하르나크의_부등식.
- Harnacks_inequality sameAs Ongelijkheid_van_Harnack.
- Harnacks_inequality sameAs Nierówność_Harnacka.
- Harnacks_inequality sameAs m.08h5l5.
- Harnacks_inequality sameAs Bất_đẳng_thức_Harnack.
- Harnacks_inequality sameAs Q868279.
- Harnacks_inequality wasDerivedFrom Harnacks_inequality?oldid=705447528.
- Harnacks_inequality depiction Harnack.png.
- Harnacks_inequality isPrimaryTopicOf Harnacks_inequality.