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HE CAUCHY PROBLEM FOR PARABOLIC SYSTEM WITH VARIABLE COEFFICIENTS IN ANISOTROPIC ZYGMUND SPACES
- Authors: Egorova A.Y.1, Konenkov A.N1
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Affiliations:
- Ryazan State University named after S.A. Esenin
- Issue: Vol 60, No 10 (2024)
- Pages: 1325-1333
- Section: PARTIAL DERIVATIVE EQUATIONS
- URL: https://rjsvd.com/0374-0641/article/view/649599
- DOI: https://doi.org/10.31857/S0374064124100039
- EDN: https://elibrary.ru/JTSXEW
- ID: 649599
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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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