HE CAUCHY PROBLEM FOR PARABOLIC SYSTEM WITH VARIABLE COEFFICIENTS IN ANISOTROPIC ZYGMUND SPACES

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Abstract

The Cauchy problem for a second-order parabolic system with coefficients and the right hand side which belong to the Zygmund anisotropic space is considered. A smoothness scale of the Cauchy problem solutions in anisotropic Zygmund spaces is obtained. A priori estimates of solutions for uniformly elliptic systems in isotropic Zygmund spaces are derived.

About the authors

A. Yu Egorova

Ryazan State University named after S.A. Esenin

Email: an_batseva@mail.ru
Russia

A. N Konenkov

Ryazan State University named after S.A. Esenin

Email: a.konenkov@365.rsu.edu.ru
Russia

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