Email this article Boundary-Value Problems with Shift and Beltrami Systems
- Authors: Akhalaia G.1, Giorgadze G.2, Manjavidze N.3
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Affiliations:
- I. Vekua Institute of Applied Mathematics, Tbilisi State University
- Tbilisi State University
- Ilia State University
- Issue: Vol 237, No 1 (2019)
- Pages: 1-29
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242297
- DOI: https://doi.org/10.1007/s10958-019-4142-8
- ID: 242297
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Abstract
In this paper, we consider boundary-value problems with shift and show that such problems are equivalent to boundary-value problems for generalized analytic functions. We interpret the shift as a change of the complex structure on the complex plane with a given closed curve.
About the authors
G. Akhalaia
I. Vekua Institute of Applied Mathematics, Tbilisi State University
Author for correspondence.
Email: giorgi.akhalaia@viam.tsu.ge
Georgia, Tbilisi
G. Giorgadze
Tbilisi State University
Email: giorgi.akhalaia@viam.tsu.ge
Georgia, Tbilisi
N. Manjavidze
Ilia State University
Email: giorgi.akhalaia@viam.tsu.ge
Georgia, Tbilisi
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