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<p>We study an initial-boundary value problem for a fourth order Sobolev type mixed equation. The problem is shown to be ill-posed in the sense of Hadamard. A priori estimates for the solution are derived. Theorems on the uniqueness and conditional stability of the solution on the set of well-posedness are proved. Bibliography: 3 titles.</p>

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BOUNDARY VALUE PROBLEM FOR A FOURTH ORDER SOBOLEV TYPE MIXED EQUATION

  • 期刊论文

  • 发表日期：

    2026年5月28日

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  • Z. Fayazova

摘要

We study an initial-boundary value problem for a fourth order Sobolev type mixed equation. The problem is shown to be ill-posed in the sense of Hadamard. A priori estimates for the solution are derived. Theorems on the uniqueness and conditional stability of the solution on the set of well-posedness are proved. Bibliography: 3 titles.