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- Q868279 subject Q7213511.
- Q868279 subject Q8505568.
- Q868279 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.".
- Q868279 thumbnail Harnack.png?width=300.
- Q868279 wikiPageExternalLink vorlesunganwend00weierich.
- Q868279 wikiPageWikiLink Q1135706.
- Q868279 wikiPageWikiLink Q117346.
- Q868279 wikiPageWikiLink Q1361396.
- Q868279 wikiPageWikiLink Q1537963.
- Q868279 wikiPageWikiLink Q165309.
- Q868279 wikiPageWikiLink Q203586.
- Q868279 wikiPageWikiLink Q2596534.
- Q868279 wikiPageWikiLink Q271977.
- Q868279 wikiPageWikiLink Q5154224.
- Q868279 wikiPageWikiLink Q599027.
- Q868279 wikiPageWikiLink Q6510488.
- Q868279 wikiPageWikiLink Q7213511.
- Q868279 wikiPageWikiLink Q8505568.
- Q868279 wikiPageWikiLink Q956437.
- Q868279 type Thing.
- Q868279 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.".
- Q868279 label "Harnack's inequality".
- Q868279 depiction Harnack.png.