The Cauchy Problem for a Parabolic System with VariableCoefficients in Anisotropic Zygmund Spaces

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

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Publication Details

Journal
Differential Equations
Published
2024-10-01
DOI
https://doi.org/10.1134/s0012266124100045
Citations
1
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.97
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article

The Cauchy Problem for a Parabolic System with VariableCoefficients in Anisotropic Zygmund Spaces

A. N. Konenkov, A.Yu. Egorova
1 citations
Differential Equations
Advanced Harmonic Analysis Research
0.97
article

The Cauchy Problem for a Parabolic System with VariableCoefficients in Anisotropic Zygmund Spaces

A. N. Konenkov, A.Yu. Egorova
article en
1 citations

Abstract

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

Differential EquationsVol. 60(10)
Ryazan State University (RU)
Openalex Percentile: Top 21%
Advanced Harmonic Analysis Research
0.97
DOISourceOpenAlex
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The Cauchy Problem for a Parabolic System with VariableCoefficients in Anisotropic Zygmund Spaces — A. N. Konenkov, A.Yu. Egorova · Differential Equations (2024) | TGRS Research Map | TGRS