On Gevrey solvability and regularity

descriptionPublicationkeyboard_double_arrow_right Article 17 Feb 2009 English Publisher:WileyJournal:Mathematische Nachrichten, volume 282, pages 470-481 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Petronilho, Gerson;

doi: 10.1002/mana.200810748

On Gevrey solvability and regularity

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Abstract

AbstractIn this paper we study global C∞ and Gevrey solvability for a class of sublaplacian defined on the torus T3. We also prove Gevrey regularity for a class of solutions of certain operators that are globally C∞ hypoelliptic in the N ‐dimensional torus (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Related Organizations

UNIVERSIDADE DE SAO PAULO
Brazil
Federal University of São Carlos
Brazil

Keywords

globally Gevrey-s hypoelliptic, globally Gevrey-s solvable, Hypoelliptic equations, Gevrey regularity

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