A Maillet type theorem for first order singular nonlinear partial differential equations

DOI10.2977/prims/1145476104zbMath1048.35012OpenAlexW1971492833MaRDI QIDQ1425472

Akira Shirai

Publication date: 21 March 2004

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/1145476104

zbMATH Keywords

formal power series solutionGevrey order

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10)

Related Items

Formal Gevrey solutions: in analytic germs -- for higher order holomorphic PDEs ⋮ Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients ⋮ Unnamed Item ⋮ On the summability of the solutions of the inhomogeneous heat equation with a power-law nonlinearity and variable coefficients ⋮ Gevrey regularity of the solutions of the inhomogeneous partial differential equations with a polynomial semilinearity ⋮ Gevrey index theorem for the inhomogeneous n-dimensional heat equation with a power-law nonlinearity and variable coefficients

Cites Work

• Divergence property of formal solutions for singular first order linear partial differential equations
• Convergence of formal solutions of first order singular nonlinear partial differential equations in the complex domain
• Formal Gevrey class of formal power series solution for singular first order linear partial differential operators
• Maillet type theorem for nonlinear partial differential equations and Newton polygons
• Unnamed Item
• Unnamed Item

This page was built for publication: A Maillet type theorem for first order singular nonlinear partial differential equations