Prescribing analytic singularities for solutions of a class of vector fields on the torus

DOI10.1090/S0002-9947-05-03905-XzbMath1077.35004OpenAlexW1600466712MaRDI QIDQ5461380

Sérgio Luís Zani, Adalberto Panobianco Bergamasco

Publication date: 26 July 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03905-x

zbMATH Keywords

global analytic hypoellipticity

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Hypoelliptic equations (35H10)

Related Items (9)

Global Analytic Regularity for Structures of Co-Rank One ⋮ Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields ⋮ Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity ⋮ Global solvability for a class of overdetermined systems ⋮ Globally analytic hypoelliptic vector fields on compact surfaces ⋮ Global Denjoy-Carleman hypoellipticity for a class of systems of complex vector fields and perturbations ⋮ Global analytic hypoellipticity for a class of evolution operators on \(\mathbb{T}^1 \times \mathbb{S}^3\) ⋮ Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type ⋮ On the global solvability for overdetermined systems

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• PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA
• Analytic‐hypoelliptic partial differential equations of principal type
• Global Hypoellipticity and Liouville Numbers
• Hypoelliptic Vector Fields and Continued Fractions

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