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Abstract <p>This paper is devoted to the study of the boundedness in Banach spaces of the imaginary powers of an elliptic operator with a potential that may have singularities on certain manifolds. The sectoriality and boundedness of these imaginary powers are established.</p>

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On the Boundedness of Imaginary Powers of an Elliptic Operator in Banach Space with Potential Singular on Manifolds

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. R. Khalmukhamedov,
  • T. N. Alikulov

摘要

Abstract

This paper is devoted to the study of the boundedness in Banach spaces of the imaginary powers of an elliptic operator with a potential that may have singularities on certain manifolds. The sectoriality and boundedness of these imaginary powers are established.