Integral representations for solutions of some types of the Beltrami equations
type: Item
instance of: scholarly article
title: Integral representations for solutions of some types of the Beltrami equations
zbMATH Open document ID: 1402.30043
DOI: 10.3103/S1066369X18030039
author: David B. Katz
author: Boris A. Kats
published in: Russian Mathematics
publication date: 2018-06-25T00:00:00Z
review text: The authors consider the Beltrami equation of type \[ \bar\partial{\phi} = \beta\frac{\,f\overline{f'}}{\,\overline f f'}\partial{\phi}. \] They obtain an integral representation for its solutions, which is a generalization of the Cauchy integral. Then they use this to prove certain analogues of some classical results of complex analysis for the solutions of the Beltrami equation.
reviewed by: Agnieszka Wisniowska-Wajnryb
Mathematics Subject Classification ID: 30G20
zbMATH DE Number: 6893905
zbMATH Keywords: Beltrami equation
zbMATH Keywords: integral representations
MaRDI profile type: Publication
cites work: Q4040553
cites work: Q3592830
cites work: Q3749620
cites work: On the jump problem for β-analytic functions
cites work: Q5453599
cites work: Q3895765
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full work available at URL: s1066369x18030039
OpenAlex ID: W2802495153
Wikidata QID: Q129909657
description: scientific article; zbMATH DE number 6893905