On parametric Gevrey asymptotics for some nonlinear initial value problems in symmetric complex time variables

DOI10.3233/ASY-191568zbMath1454.35404arXiv1806.04615OpenAlexW2976781536MaRDI QIDQ5131022

Alberto Lastra Sedano, Stéphane Malek

Publication date: 2 November 2020

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04615

zbMATH Keywords

Fourier transformsingular perturbationasymptotic expansioninitial value problemnonlinear integro-differential equationformal power seriesnonlinear partial differential equationBorel-Laplace transform

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Partial differential equations of mathematical physics and other areas of application (35Q99) Integro-partial differential equations (35R09)

Related Items (4)

Boundary layer expansions for initial value problems with two complex time variables ⋮ Double-scale Gevrey asymptotics for logarithmic type solutions to singularly perturbed linear initial value problems ⋮ Summability of the formal power series solutions of a certain class of inhomogeneous partial differential equations with a polynomial semilinearity and variable coefficients ⋮ Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms

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