GEVREY SOLVABILITY AND GEVREY REGULARITY IN DIFFERENTIAL COMPLEXES ASSOCIATED TO LOCALLY INTEGRABLE STRUCTURES

dc.creatorCAETANO, Paulo A. S.
dc.creatorCORDARO, Paulo D.
dc.date.accessioned2012-04-19T15:44:59Z
dc.date.accessioned2018-07-04T14:43:12Z
dc.date.available2012-04-19T15:44:59Z
dc.date.available2018-07-04T14:43:12Z
dc.date.created2012-04-19T15:44:59Z
dc.date.issued2011
dc.identifierTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.363, n.1, p.185-201, 2011
dc.identifier0002-9947
dc.identifierhttp://producao.usp.br/handle/BDPI/16683
dc.identifierhttp://www.ams.org/journals/tran/2011-363-01/S0002-9947-2010-04893-7/S0002-9947-2010-04893-7.pdf
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1613504
dc.description.abstractIn this work we study some properties of the differential complex associated to a locally integrable (involutive) structure acting on forms with Gevrey coefficients. Among other results we prove that, for such complexes, Gevrey solvability follows from smooth solvability under the sole assumption of a regularity condition. As a consequence we obtain the proof of the Gevrey solvability for a first order linear PDE with real-analytic coefficients satisfying the Nirenberg-Treves condition (P).
dc.languageeng
dc.publisherAMER MATHEMATICAL SOC
dc.relationTransactions of the American Mathematical Society
dc.rightsCopyright AMER MATHEMATICAL SOC
dc.rightsopenAccess
dc.subjectLocal solvability
dc.subjectGevrey classes
dc.subjectlocally integrable structures
dc.subjecthypo-analytic structures
dc.titleGEVREY SOLVABILITY AND GEVREY REGULARITY IN DIFFERENTIAL COMPLEXES ASSOCIATED TO LOCALLY INTEGRABLE STRUCTURES
dc.typeArtículos de revistas


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