Some Notes on the Multi-Level Gevrey Solutions of Singularly Perturbed Linear Partial Differential Equations

DOI10.1007/978-3-319-52842-7_13zbMath1404.35092OpenAlexW2689663916MaRDI QIDQ4645003

Alberto Lastra Sedano, Stéphane Malek

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_13

zbMATH Keywords

singular perturbationformal power serieslinear partial differential equationsBorel summabilityBorel-Laplace transformGevrey asymptotic expansion

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (1)

On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems

Cites Work

• On the summability of formal solutions for doubly singular nonlinear partial differential equations
• On Gevrey functional solutions of partial differential equations with Fuchsian and irregular singularities
• Monomial summability and doubly singular differential equations
• Basic theory of ordinary differential equations
• On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems
• Multi-level Gevrey solutions of singularly perturbed linear partial differential equations
• Formal power series and linear systems of meromorphic ordinary differential equations
• On Gevrey solutions of threefold singular nonlinear partial differential equations
• Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations

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