A1 Journal article (refereed)
Manifolds of quasiconformal mappings and the nonlinear Beltrami equation (2019)

Astala, K., Clop, A., Faraco, D., & Jääskeläinen, J. (2019). Manifolds of quasiconformal mappings and the nonlinear Beltrami equation. Journal d'Analyse Mathématique, 139(1), 207-238. https://doi.org/10.1007/s11854-019-0059-x

JYU authors or editors

Publication details

All authors or editors: Astala, Kari; Clop, Albert; Faraco, Daniel; Jääskeläinen, Jarmo

Journal or series: Journal d'Analyse Mathématique

ISSN: 0021-7670

eISSN: 1565-8538

Publication year: 2019

Volume: 139

Issue number: 1

Pages range: 207-238

Publisher: The Hebrew University Magnes Press

Publication country: Israel

Publication language: English

DOI: https://doi.org/10.1007/s11854-019-0059-x

Publication open access: Not open

Publication channel open access: 

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/66827

Publication is parallel published: https://arxiv.org/abs/1412.4046

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.

Keywords: complex analysis; manifolds (mathematics); partial differential equations

Contributing organizations

Ministry reporting: Yes

VIRTA submission year: 2019

JUFO rating: 2