Gevrey asymptotic theory for singular first order linear partial differential equations of nilpotent type. II

DOI10.2977/prims/1145477330zbMath1006.35019OpenAlexW2028960652MaRDI QIDQ1599149

Masaki Hibino

Publication date: 4 March 2003

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/1145477330

zbMATH Keywords

Borel summabilityunique formal power series solution

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) General theory of PDEs and systems of PDEs with constant coefficients (35E20)

Related Items (5)

Solvability of systems of singular partial differential equations in function spaces ⋮ Borel summability of divergent solutions for singularly perturbed first order ordinary differential equations ⋮ Singular solutions of nonlinear partial differential equations with resonances ⋮ Asymptotic existence theorems for formal power series whose coefficients satisfy certain partial differential recursions ⋮ Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. I

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• From divergent power series to analytic functions. Theory and application of multisummable power series
• Gevrey asymptotic theory for singular first order linear partial differential equations of nilpotent type. I
• Divergence property of formal solutions for singular first order linear partial differential equations
• Formal power series and linear systems of meromorphic ordinary differential equations
• On the Borel summability of divergent solutions of the heat equation

This page was built for publication: Gevrey asymptotic theory for singular first order linear partial differential equations of nilpotent type. II