11-16 December 2023
St. Petersburg University, MCS faculty
Europe/Moscow timezone

V.V. Chernikov’s method for investigating functionals on the class of conformal univalent mappings

13 Dec 2023, 10:45
35m
MCS 201 (SPBU MCS)

MCS 201

SPBU MCS

Russia, 199178, St. Petersburg, 14 line V.O., 29B, https://math-cs.spbu.ru/en/ Room 201 ZOOM streaming at: https://us02web.zoom.us/j/675315555?pwd=aEVYbHZWL2F0aE9PUXVYUjB4a21ydz09

Speaker

Ivan Kolesnikov (Tomsk state university)

Description

The variational method is one of the main methods for finding a region of a functional and boundary mappings. The greatest difficulty of this method is the study of the functional differential equation for the boundary mapping. V.V. Chernikov proposed a way for finding a solution to such a functional differential equation using the area method. We use the idea of V.V. Chernikov to study some functionals defined on the class $S$, and consider questions about improving the method.

The work was supported by RSF Grant No. 23-21-00080.

Primary author

Ivan Kolesnikov (Tomsk state university)

Presentation Materials

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