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Malmheden's theorem revisited
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
2010 (engelsk)Inngår i: Expositiones mathematicae, ISSN 0723-0869, E-ISSN 1878-0792, Vol. 28, nr 4, s. 337-350Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In 1934 Malmheden [16] discovered an elegant geometric algorithm for solving the Dirichlet problem in a ball. Although his result was rediscovered independently by Duffin (1957) [8] 23 years later, it still does not seem to be widely known. In this paper we return to Malmheden's theorem, give an alternative proof of the result that allows generalization to polyharmonic functions and, also, discuss applications of his theorem to geometric properties of harmonic measures in balls in R-n.

sted, utgiver, år, opplag, sider
2010. Vol. 28, nr 4, s. 337-350
Emneord [en]
POTENTIAL-THEORY
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-30261DOI: 10.1016/j.exmath.2010.03.002ISI: 000285668100003Scopus ID: 2-s2.0-77958507051OAI: oai:DiVA.org:kth-30261DiVA, id: diva2:399384
Merknad
QC 20110222Tilgjengelig fra: 2011-02-22 Laget: 2011-02-21 Sist oppdatert: 2017-12-11bibliografisk kontrollert

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