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On Gevrey solvability and regularity
Authors:Gerson Petronilho
Institution:Universidade Federal de S?o Carlos, Departamento de Matemática, Rodovia Washington Luiz, Km. 235, S?o Carlos, SP, CEP 13565‐905, Brazil
Abstract:In this paper we study global C and Gevrey solvability for a class of sublaplacian defined on the torus T 3. 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)
Keywords:Globally Gs solvable  Gevrey regularity  globally Gs hypoelliptic
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