Model First Boundary Value Problemfor a Parabolic System in Zygmund Spaces

The first boundary value problem for a Petrovskii uniformly parabolic second-order system 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
Differential Equations
Published
2025-05-01
DOI
https://doi.org/10.1134/s0012266125050040
Primary Topic
Lymphoma Diagnosis and Treatment
Type
article
Field-Weighted Citation Impact
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article

Model First Boundary Value Problemfor a Parabolic System in Zygmund Spaces

Differential Equations
Lymphoma Diagnosis and Treatment
article

Model First Boundary Value Problemfor a Parabolic System in Zygmund Spaces

article en

Abstract

The first boundary value problem for a Petrovskii uniformly parabolic second-order system 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.

Differential EquationsVol. 61(5)
Ryazan State University (RU), Moscow Center For Continuous Mathematical Education (RU), Ryazan State Radio Engineering University (RU)
Openalex Percentile: Top 37%
Lymphoma Diagnosis and Treatment
DOISourceOpenAlex
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