Analysis reveals conditions for almost hypoellipticity in linear operators, suggesting broader applications in differential equations.
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.
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Ghazaryan et al. (2026) studied this question.
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