Zur Kurzanzeige

dc.contributor.authorBrauchart, Johann S.
dc.contributor.authorDragnev, Peter D.
dc.contributor.authorSaff, Edward B.
dc.date.accessioned2016-10-10T09:08:02Z
dc.date.available2016-10-10T09:08:02Z
dc.date.issued2009
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1225
dc.descriptionOWLF 2008en_US
dc.description.abstractAbstract. We investigate the minimal Riesz $s$-energy problem for positive measures on the d-dimensional unit sphere $\mathbb{S}^d$ in the presence of an external field induced by a point charge, and more generally by a line charge. The model interaction is that of Riesz potentials $|x−y|^{−s}$ with $d−2 ≤ s < d$. For a given axis-supported external field, the support and the density of the corresponding extremal measure on $\mathbb{S}^d$ is determined. The special case $s = d − 2$ yields interesting phenomena, which we investigate in detail. A weak$^∗$ asymptotic analysis is provided as $s → (d − 2)^+$.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2009;04
dc.subjectBalayageen_US
dc.subjectEquilibrium Measuresen_US
dc.subjectExtremal Measuresen_US
dc.subjectMinimum Energyen_US
dc.subjectRiesz kernelen_US
dc.subjectWeighted Energyen_US
dc.titleMinimal Riesz energy on the sphere for axis-supported external fieldsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2009-04
local.scientificprogramOWLF 2008en_US
local.series.idOWP-2009-04
local.subject.msc31
local.subject.msc74
dc.identifier.urnurn:nbn:de:101:1-20090325166
dc.identifier.ppn1649512147


Dateien zu dieser Ressource

Thumbnail

Das Dokument erscheint in:

Zur Kurzanzeige