The diophantine nature for the convergence of formal solutions

DOI10.2748/tmj/1178228414zbMath0592.35006OpenAlexW2130756713MaRDI QIDQ1075488

Masafumi Yoshino

Publication date: 1986

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228414

zbMATH Keywords

formal solutionsanalytic partial differential equationsdiophantine functions

Mathematics Subject Classification ID

Linear higher-order PDEs (35G05) General topics in partial differential equations (35A99)

Related Items

On Diophantine properties for convergence of formal solutions ⋮ A class of globally hypoelliptic operators on the torus ⋮ Necessary and sufficient condition for the convergence of formal solutions ⋮ Convergence of formal solutions for Fuchs-Goursat equations ⋮ Hypoellipticity and existence of periodic solutions on \(T^ d\)

Cites Work

• An application of generalized implicit function theorem to Goursat problems for nonlinear Leray-Volevich systems
• On sufficient conditions for convergence of formal solutions
• Spectral property of Goursat problems
• On a class of linear partial differential equations whose formal solutions always converge
• Caractere non fredholmien du problème de Goursat
• Une fonction de la théorie des nombres
• Unnamed Item