On Gevrey regularity of globally C^∞ hypoelliptic operators

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• 作者：Himonas ; A. Alexandrou ; Petronilho ; Gerson
• 关键词：primary 35H10 ; Global Formula Not Shown hypoellipticity ; Gevrey spaces ; Regularity
• 刊名：Journal of Differential Equations
• 出版年：2004
• 出版时间：December 15, 2004
• 年：2004
• 卷：207
• 期：2
• 页码：267-284
• 全文大小：280 K

文摘

We prove Gevrey regularity for a class of operators defined on the torus Formula Not Shown, with real analytic coefficients in Formula Not Shown, and which are globally Formula Not Shown hypoelliptic. Then, we apply this result to show global Formula Not Shown hypoellipticity for a large class of sublaplacians that may include lower order terms.