Gevrey hypoellipticity of p-powers of non-hypoelliptic operators

被引：0

作者：

De Donno, G ^{[1
]}

机构：

[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

来源：

ADVANCES IN PSEUDO-DIFFERENTIAL OPERATORS | 2004年 / 155卷

关键词：

partial differential equations; hypoellipticity; Gevrey classes;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the hypoellipticity in C-infinity and Gevrey G(lambda) classes of 2-variable PDO's containing powers of anisotropic principal terms. We use an approach based on methods from microlocal analysis. Conditions are imposed on the coefficients of lower order terms. Also a semilinear version is proposed considering C-infinity nonlinear perturbations. See Theorem 1.1 and Theorem 1.6.

引用

页码：77 / 90

页数：14

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