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On reduced Beltrami equations and linear families of quasiregular mappings.
- Source :
- Journal für die Reine und Angewandte Mathematik; Sep2013, Vol. 2013 Issue 682, p49-64, 16p
- Publication Year :
- 2013
-
Abstract
- This paper studies linear classes of planar quasiregular mappings. We give a positive answer to a conjecture of K. Astala, T. Iwaniec, and G. Martin (2009) on reduced Beltrami equations. Moreover, we use it to prove a Wronsky-type theorem for general linear Beltrami systems. This is a key to show that the associated Beltrami equation of a linear quasiregular family is unique. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
MATHEMATICS theorems
NUMERICAL analysis
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2013
- Issue :
- 682
- Database :
- Complementary Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 99524547
- Full Text :
- https://doi.org/10.1515/crelle-2012-0041