Mother bodies of algebraic domains in the Complex plane
2006 (English)In: Complex Variables and Elliptic Equations, ISSN 1747-6933, Vol. 51, no 4, 357-369 p.Article in journal (Refereed) Published
We give a definition of a mother body of a domain in the complex plane, and prove some continuityproperties of its potential in terms of the Schwarz function (which is explicitly assumedto exist). We end the article by studying the case of the ellipse, and use the previous results toprove existence and uniqueness of a mother body in this case, as well as a related existence resultabout graviequivalent measures for the ellipse.
Place, publisher, year, edition, pages
2006. Vol. 51, no 4, 357-369 p.
Mother body, Schwarz function, Ellipse, AMS Subject Classifications: Primary 31A05, Secondary 31B05
IdentifiersURN: urn:nbn:se:kth:diva-25056DOI: 10.1080/17476930600610049OAI: oai:DiVA.org:kth-25056DiVA: diva2:355496
QC 201010072010-10-072010-10-072010-10-07Bibliographically approved