Loewner–Kufarev Equation for a Strip with an Analogue of Hydrodynamic Normalization


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Abstract

A semigroup of holomorphic self-mappings of a strip with hydrodynamic normalization is studied. A description of infinitesimal transformations of the semigroup is obtained. The differentiability with respect to the time parameter of normalized evolution families is established. An existence theorem is obtained for the evolution equation.

About the authors

V. V. Goryainov

Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: goryainov_vv@hotmail.com
Russian Federation, Institutskii per. 9, Dolgoprudny, Moscow oblast, 141701


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