Convergent and divergent solutions of singular partial differential equations with resonance or small denominators

DOI10.2977/prims/1201012374zbMath1152.35014OpenAlexW2123080464MaRDI QIDQ945582

Masafumi Yoshino

Publication date: 12 September 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1201012374

zbMATH Keywords

solvability and nonsolvability

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Series solutions to PDEs (35C10) Normal forms for dynamical systems (37G05) Resonance in context of PDEs (35B34)

Cites Work

• Convergence versus integrability in Poincaré-Dulac normal form
• Diophantine approximation
• Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance cases
• Singular complete integrability
• Total convergence or general divergence in small divisors.

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