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Abstract <p> The first boundary value problem for a Petrovskii uniformly parabolic second-order systemwith 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 Zygmundspaces is established.</p>

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Model First Boundary Value Problem for a Parabolic System in Zygmund Spaces

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • A. Yu. Egorova,
  • A. N. Konenkov

摘要

Abstract

The first boundary value problem for a Petrovskii uniformly parabolic second-order systemwith 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 Zygmundspaces is established.