MODEL FIRST BOUNDARY VALUE PROBLEM FOR PARABOLIC SYSTEM IN ZYGMUND SPACES

The first boundary value problem for the Petrovsky uniformly parabolic system of the second order with one spatial variable is considered. The coefficients of the system are assumed to be constant, and the domain is a half-strip.The solvability of the problem in the scale of anisotropic Zygmund spaces is established.

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Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025050037
Primary Topic
Differential Equations and Numerical Methods
Type
article
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0.00
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article

MODEL FIRST BOUNDARY VALUE PROBLEM FOR PARABOLIC SYSTEM IN ZYGMUND SPACES

A.Yu. Egorova
Дифференциальные уравнения / Differential Equations
Differential Equations and Numerical Methods
article

MODEL FIRST BOUNDARY VALUE PROBLEM FOR PARABOLIC SYSTEM IN ZYGMUND SPACES

A.Yu. Egorova
article en

Abstract

The first boundary value problem for the Petrovsky uniformly parabolic system of the second order with one spatial variable is considered. The coefficients of the system are assumed to be constant, and the domain is a half-strip.The solvability of the problem in the scale of anisotropic Zygmund spaces is established.

Дифференциальные уравнения / Differential EquationsVol. 61(5)
Openalex Percentile: Top 61%
Differential Equations and Numerical Methods
DOISourceOpenAlex
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MODEL FIRST BOUNDARY VALUE PROBLEM FOR PARABOLIC SYSTEM IN ZYGMUND SPACES — A.Yu. Egorova · Дифференциальные уравнения / Differential Equations (2025) | TGRS Research Map | TGRS