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Dovhopiatyi Olexandr Petrovich
PhD student of Dept. of Mathematical Analysis, Business Analysis and Statistics of Zhytomyr Ivan Franko State University
On the theory of local and boundary behavior of plane and space mappings
Wednesday, February 7, 2024, at 11:00 a.m. Kyiv time
On line: https://meet.google.com/ojq-rptz-xok
Abstract
It is obtained the continuous boundary extension of mappings with the inverse Poletsky inequality. Based on local and boundary properties of these mappings, it is obtained theorems on compactness of classes of solutions of Beltrami equations and the Dirichlet problem for it. There are obtained theorems on the existence of solutions of linear and quasilinear Beltrami equations, including solutions with the hydrodynamic normalization condition near infinitely distant point.
About the author