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<p>Starting from a special factorization for an elliptic symbol of a pseudo-differential operator, we find the unique solution from a certain Sobolev-Slobodetskii space to the corresponding equation. To obtain a solution from the prescribed Sobolev-Slobodetskii space, one needs solvability conditions. The paper describes such solvability conditions for certain situations.</p>

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ON SOLVABILITY CONDITIONS FOR ELLIPTIC PSEUDO-DIFFERENTIAL EQUATIONS IN A CERTAIN MULTIDIMENSIONAL CONE

  • 期刊论文

  • 发表日期：

    2026年3月6日

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  • Vladimir B. Vasilyev,
  • Olga V. Chernova,
  • Tatyana V. Sopova

摘要

Starting from a special factorization for an elliptic symbol of a pseudo-differential operator, we find the unique solution from a certain Sobolev-Slobodetskii space to the corresponding equation. To obtain a solution from the prescribed Sobolev-Slobodetskii space, one needs solvability conditions. The paper describes such solvability conditions for certain situations.