Artículos de revistas
GEVREY SOLVABILITY AND GEVREY REGULARITY IN DIFFERENTIAL COMPLEXES ASSOCIATED TO LOCALLY INTEGRABLE STRUCTURES
Fecha
2011Registro en:
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.363, n.1, p.185-201, 2011
0002-9947
Autor
CAETANO, Paulo A. S.
CORDARO, Paulo D.
Institución
Resumen
In 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).