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The Riemann Boundary Value Problem on Circular Spirals
Siberian Mathematical Journal ( IF 0.7 ) Pub Date : 2021-05-27 , DOI: 10.1134/s0037446621030058
B. A. Kats , D. B. Katz , Zhixin Lyu

There is a series of publications about the Riemann boundary value problem on spiral-like arcs. Some constraints are imposed on the shape of the turns which derive the latter close to approximating concentric circles in form. This article solves the problem for the spirals that may lose concentricity. We show that this effect can entail changes in the solvability of the boundary value problem.



中文翻译:

圆螺旋上的黎曼边值问题

有一系列关于螺旋弧上的黎曼边值问题的出版物。对匝的形状施加了一些限制,这使得后者在形式上接近近似同心圆。本文解决了螺旋线可能失去同心度的问题。我们表明,这种影响可能会导致边值问题的可解性发生变化。

更新日期:2021-05-28
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