MANIFOLDS OF QUASICONFORMAL MAPPINGS AND THE NONLINEAR BELTRAMI EQUATION
Year of publication
2019
Authors
Astala, Kari; Clop, Albert; Faraco, Daniel; Jääskeläinen, Jarmo
Abstract
In this paper we show that the homeomorphic solutions to each nonlinear Beltrami equation ∂z¯f=H(z,∂zf) generate a two-dimensional manifold of quasiconformal mappings FH⊂Wloc1,2(C). Moreover, we show that under regularity assumptions on H, the manifold FH defines the structure function H uniquely.
Show moreOrganizations and authors
University of Jyväskylä
Jääskeläinen Jarmo
Aalto University
Astala Kari
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal
Parent publication name
Publisher
Volume
139
Issue
1
Pages
207-238
ISSN
Publication forum
Publication forum level
2
Open access
Open access in the publisher’s service
No
Self-archived
Yes
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1007/s11854-019-0059-x
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes