A note on necessary conditions of hypoellipticity for some classes of differential operators with double characteristics

Nguyen Minh Tri

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A note on necessary conditions of hypoellipticity for some classes of differential operators with double characteristics

机译：关于某些具有双重特征的微分算子的次椭圆性的必要条件的注记

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References(10) We construct explicit formulas for fundamental solutions and global non-smooth solutions at degenerate points of some classes of differential operators with double characteristics. A new elementary proof for non-hypoellipticity is given.

机译：参考文献（10）我们在某些具有双重特征的微分算子的退化点上构造了用于基本解和全局非光滑解的显式公式。给出了非降椭圆性的新的基本证明。

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《Kodai Mathematical Journal》 |2000年第2期|共16页
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Nguyen Minh Tri;
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中图分类数学;
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专利

1. Hypoelliptic differential operators with double characteristics [J] . Kazuaki Taira Proceedings of the Japan Academy, Series A. Mathematical Sciences . 1974,第8期

机译：具有双重特征的次椭圆微分算子
2. Local solvability of linear differential operators with double characteristics II: Sufficient conditions for left-invariant differential operators of order two on the Heisenberg group [J] . Detlef Mutter Journal fur die Reine und Angewandte Mathematik . 2007,第0期

机译：具有双重特征的线性微分算子的局部可解性II：Heisenberg群上二阶左不变微分算子的充分条件
3. Iterates and Hypoellipticity of Partial Differential Operators on Non-Quasianalytic Classes [J] . Juan-Huguet J. Integral equations and operator theory . 2010,第2期

机译：非拟解析类上偏微分算子的迭代和次椭圆性
4. A Note On Volterra Differential Constitutive Operators And Locality Considerations In Electromagnetic Theory [C] . Dan Censor, Timor Melamed Conference on Complex Mediums Ⅲ: Beyond Linear Isotropic Dielectrics, Jul 8-10, 2002, Seattle, USA . 2002

机译：关于Volterra微分本构算子和电磁理论中局部性考虑的注记
5. A parametrix for stable step two hypoelliptic partial differential operators. [D] . Doolittle, Edward Jon. 1997

机译：稳定步阶为两个椭圆的偏微分算子的参数。
6. SOME FUNCTION CLASSES CONNECTED WITH PARTIALLY HYPOELLIPTIC DIFFERENTIAL OPERATORS [O] . Jöran Friberg 1962

机译：与部分低椭圆差分算子相关的某些函数类
7. On a class of hypoelliptic differential operators with double characteristics [O] . TAIRA Kazuaki 1993

机译：一类具有双重特征的次椭圆型微分算子
8. Nonexistence of Invariant Analytic Hypoelliptic Differential Operators onNilpotent Groups of Step Greater Than Two [R] . Christ, M. 1991

机译：不可变解析的非线性微分算子在大于2的幂零群上的不存在性

A note on necessary conditions of hypoellipticity for some classes of differential operators with double characteristics

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