Removable singularities theorems for solutions of quasi-homogneous hypoelliptic equations (Q2759786)

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scientific article; zbMATH DE number 1683752
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Removable singularities theorems for solutions of quasi-homogneous hypoelliptic equations
scientific article; zbMATH DE number 1683752

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    28 July 2002
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    necessary and sufficient condition for removability
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    Removable singularities theorems for solutions of quasi-homogneous hypoelliptic equations (English)
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    This paper deals with removable singularities theorems for the distribution solutions of quasi-homogeneous linear partial differential equations in \(\mathbb{R}^n\). The operators are assumed to be hypoelliptic in a weaker sense at 0. The corresponding quasi-homogeneous PDE is satisfied outside 0, and its solutions possess a specific growth for \(x\to 0\). Then a necessary and sufficient condition for the removability of the singularity at 0 is found.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00056].
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