Abstract
We consider the classical linear conjugation problem for analytic functions on a piecewise smooth curve in the entire scale of weighted Hölder spaces. We derive a closed-form power-logarithmic asymptotics of the solution of this problem at the corner points of the curve under the assumption that the right-hand side of the problem admits a similar asymptotics.
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Original Russian Text © G.N. Aver’yanov, A.P. Soldatov, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 9, pp. 1150–1159.
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Aver’yanov, G.N., Soldatov, A.P. Asymptotics of solutions of the linear conjugation problem at the corner points of the curve. Diff Equat 52, 1105–1114 (2016). https://doi.org/10.1134/S0012266116090019
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DOI: https://doi.org/10.1134/S0012266116090019