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نویسندگان
چکیده
In this paper, we present necessary and sufficient conditions to have global analytic hypoellipticity for a class of first-order operators defined on $\mathbb{T}^1 \times \mathbb{S}^3$. the case real-valued coefficients, prove that an operator in is conjugated constant-coefficient satisfying Diophantine condition, such conjugation preserves hypoellipticity. where imaginary part coefficients non-zero, show globally hypoelliptic if Nirenberg-Treves condition ($\mathcal{P}$) holds, addition condition.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2021.06.013