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ON THE BOUNDARY PROPERTIES OF CONFORMAL MAPS
- Authors: Soldatov A.P1,2
-
Affiliations:
- Federal Research Center Computer Science and Control, RAS
- Institute of Applied Mathematics and Automation, KBSC RAS
- Issue: Vol 64, No 9 (2024)
- Pages: 1667-1679
- Section: Ordinary differential equations
- URL: https://rjsvd.com/0044-4669/article/view/665191
- DOI: https://doi.org/10.31857/S0044466924090073
- EDN: https://elibrary.ru/WKJHUX
- ID: 665191
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Abstract
Classes of C1-smooth regions are described, the boundary contour of which is Lyapunovian outside any neighborhood of a certain point, such that the derivative of the conformal map on the unit circle is continuous at this point. The description is given in terms of some spaces for a unit tangent vector on a boundary contour. As a consequence, the corresponding results are obtained for piecewise smooth regions.
About the authors
A. P Soldatov
Federal Research Center Computer Science and Control, RAS; Institute of Applied Mathematics and Automation, KBSC RAS
Email: soldatov48@gmail.com
Moscow, Russia; Dolinsk, Russia
References
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