Necessary and sufficient condition for the convergence of formal solutions

DOI10.3792/PJAA.63.335zbMath0661.35012OpenAlexW2061610550MaRDI QIDQ1113001

Masafumi Yoshino

Publication date: 1987

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.63.335

zbMATH Keywords

Siegel conditionanalytic equationsconvergence of formal solutionsequations with small divisorsexponential condition

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Solutions to PDEs in closed form (35C05) Linear higher-order PDEs (35G05)

Cites Work

• The diophantine nature for the convergence of formal solutions
• Formal and convergent solutions of singular partial differential equations
• On a class of linear partial differential equations whose formal solutions always converge

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