Parametric Borel Summability of Partial Differential Equations of Irregular Singular Type

DOI10.1007/978-3-319-52842-7_15zbMath1404.35093OpenAlexW2677093446MaRDI QIDQ4645005

Masafumi Yoshino

Publication date: 9 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-52842-7_15

zbMATH Keywords

semilinear systemformal series solutions

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Riemann-Hilbert problems in context of PDEs (35Q15)

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Cites Work

• Monomial summability and doubly singular differential equations
• Multisummability of formal solutions of singular perturbation problems
• Singular perturbation of linear systems with a regular singularity
• Parametric Borel summability for some semilinear system of partial differential equations