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Abstract <p>This article considers the questions of correctness of one coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped. For this problem, theorems of existence and uniqueness of a regular solution of one coefficient inverse problem with nonlocal boundary conditions in an anisotropic Sobolev space are proved by the methods of Fourier, ‘‘<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8410_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varepsilon\)</EquationSource> <!--LobJMat2560889Dzhamalov-m1--> </InlineEquation>-regularization’’, apriori estimates and successive approximations.</p>

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On a Coefficient Inverse Problem with Nonlocal Boundary Conditions for the Three-Dimensional Tricomi Equation in a Parallelepiped

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • S. Z. Dzhamalov,
  • A. A. Shokirov

摘要

Abstract

This article considers the questions of correctness of one coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped. For this problem, theorems of existence and uniqueness of a regular solution of one coefficient inverse problem with nonlocal boundary conditions in an anisotropic Sobolev space are proved by the methods of Fourier, ‘‘ \(\varepsilon\) -regularization’’, apriori estimates and successive approximations.