Asymptotics of solutions of the linear conjugation problem at the corner points of the curve

作者：Aver'yanov G N; Soldatov A P^*

来源：Differential Equations, 2016, 52(9): 1105-1114.

DOI：10.1134/S0012266116090019

We consider the classical linear conjugation problem for analytic functions on a piecewise smooth curve in the entire scale of weighted Holder 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.

• 出版日期2016-9