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On Gevrey solvability and regularity
Author(s) -
Petronilho Gerson
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810748
Subject(s) - mathematics , torus , class (philosophy) , pure mathematics , hypoelliptic operator , mathematical analysis , geometry , differential operator , semi elliptic operator , artificial intelligence , computer science
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)