Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems

DOI10.1007/s11854-013-0011-4zbMath1308.35007OpenAlexW2141573039MaRDI QIDQ351290

Gerson Petronilho, Paulo D. Cordaro, Jairo Eloy Castellanos

Publication date: 11 July 2013

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-013-0011-4

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Nonlinear higher-order PDEs (35G20) Hypoelliptic equations (35H10)

Related Items (9)

Gevrey regularity of Gevrey vectors of second-order partial differential operators with non-negative characteristic form ⋮ The theorem of iterates for elliptic and non-elliptic operators ⋮ Hypoellipticity for certain systems of complex vector fields ⋮ Global Gevrey vectors ⋮ Geometric microlocal analysis in Denjoy-Carleman classes ⋮ Unnamed Item ⋮ Local estimates for Hörmander's operators with Gevrey coefficients and application to the regularity of their Gevrey vectors ⋮ Local estimates for Hörmander's operators of first kind with analytic Gevrey coefficients and application to the regularity of their Gevrey vectors ⋮ On Gevrey vectors of L. Hörmander’s operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytic vectors
• Propagation de l'analyticité des solutions de systèmes hyperboliques non-linéaires
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• Analyticite et iterés d'opérateurs pseudo-différentiels
• Interpolation entre des espaces localement convexes definis à l'aide de semigroupes, cas des espaces de Gevrey
• Regularity theorems for fractional powers of a linear elliptic operator
• Subelliptic estimates for some systems of complex vector fields: Quasihomogeneous case
• Hypoelliptic overdetermined systems of partial differential equation
• Analyticite et iteres reduits d'un systeme de champs de vecteurs
• Analyticité et itères d'un système de champs non elliptique
• Analytic Vectors of Hypoelliptic Operators of Principal Type
• Propriete des iteres et ellipticite
• Analytic‐hypoelliptic partial differential equations of principal type
• Real Analytic Functions on Product Spaces and Separate Analyticity

This page was built for publication: Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems