Riemann boundary-value problem on Cassini spirals
Problemy analiza, Tome 10 (2021) no. 1, pp. 101-110

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Recently, a number of papers has been published concerning the Riemann boundary-value problems on spiral-like arcs. In all these works, the spiral has the shape close to concentric circles, i. e., with equal rates of torsion in all directions. This paper is the first study of this problem on spirals with oval turns.
Keywords: Rimann boundary-value problem, spirals, strong torsion, Cassini ovals.
Mots-clés : non-rectifiable curve
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L. Zhixin; B. A. Kats. Riemann boundary-value problem on Cassini spirals. Problemy analiza, Tome 10 (2021) no. 1, pp. 101-110. http://geodesic.mathdoc.fr/item/PA_2021_10_1_a6/