naa a22 4500 510781489 CHVBK 20180411083249.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1007/s11854-013-0011-4 doi (NATIONALLICENCE)springer-10.1007/s11854-013-0011-4 Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems [Elektronische Daten] [Jairo Castellanos, Paulo Cordaro, Gerson Petronilho] In this work, we introduce the notion of s-Gevrey vectors in locally integrable structures of tube type. Under the hypothesis of analytic hypoellipticity, we study the Gevrey regularity of such vectors and also show how this notion can be applied to the study of the Gevrey regularity of solutions of certain classes of semilinear equations. Hebrew University Magnes Press, 2013 Castellanos Jairo Universidad de Antioquia, Medellín, Colombia aut Cordaro Paulo Universidade de São Paulo, São Paulo, SP, Brazil aut Petronilho Gerson Universidade Federal de São Carlos, São Carlos, SP, Brazil aut Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 333-364 0021-7670 119:1<333 2013 119 11854 https://doi.org/10.1007/s11854-013-0011-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11854-013-0011-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Castellanos Jairo Universidad de Antioquia, Medellín, Colombia aut NATIONALLICENCE 700 1- Cordaro Paulo Universidade de São Paulo, São Paulo, SP, Brazil aut NATIONALLICENCE 700 1- Petronilho Gerson Universidade Federal de São Carlos, São Carlos, SP, Brazil aut NATIONALLICENCE 773 0- Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 333-364 0021-7670 119:1<333 2013 119 11854 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer