On parametric Gevrey asymptotics for some initial value problems in two asymmetric complex time variables

DOI10.1007/s00025-018-0914-6zbMath1404.35017arXiv1806.07387OpenAlexW2809454243MaRDI QIDQ1635085

Stéphane Malek, Alberto Lastra Sedano

Publication date: 18 December 2018

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

Full work available at URL: https://arxiv.org/abs/1806.07387

zbMATH Keywords

Fourier transforminitial value problemformal power seriesBorel-Laplace transform

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Fractional partial differential equations (35R11)

Related Items (5)

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 ⋮ On singularly perturbed linear initial value problems with mixed irregular and Fuchsian time singularities ⋮ 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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