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<p>Necessary and sufficient conditions for the almost hypoellipticity of linear differential operators with constant coefficients are obtained in the case where the symbols (characteristic polynomials) of these operators increase to infinity as the modulus of the argument of these polynomials tends to&#xa0;infinity and where they may sometimes be bounded.</p>

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Almost Hypoellipticity of Operators with Increasing and Nonincreasing Symbols

  • 期刊论文

  • 发表日期：

    2026年3月28日

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  • H. G. Ghazaryan,
  • V. N. Margaryan

摘要

Necessary and sufficient conditions for the almost hypoellipticity of linear differential operators with constant coefficients are obtained in the case where the symbols (characteristic polynomials) of these operators increase to infinity as the modulus of the argument of these polynomials tends to infinity and where they may sometimes be bounded.