Hypoellipticity and existence of periodic solutions on \(T^ d\)

DOI10.3792/PJAA.65.106zbMath0701.35057OpenAlexW1986101401MaRDI QIDQ914051

Masafumi Yoshino

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.106

zbMATH Keywords

Gevrey classesglobal solvabilityglobal hypoellipticityn-torus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Periodic solutions to PDEs (35B10) Hypoelliptic equations (35H10) Linear higher-order PDEs (35G05)

Cites Work

• An application of generalized implicit function theorem to Goursat problems for nonlinear Leray-Volevich systems
• The diophantine nature for the convergence of formal solutions
• Infinitely many periodic solutions for the equation
• Global Hypoellipticity and Liouville Numbers
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