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Some Notes on the Parametric Gevrey Asymptotics in two Complex Time Variables through Truncated Laplace Transforms
Version 1
: Received: 9 September 2020 / Approved: 11 September 2020 / Online: 11 September 2020 (08:11:47 CEST)
How to cite: Chen, G.; Lastra, A.; Malek, S. Some Notes on the Parametric Gevrey Asymptotics in two Complex Time Variables through Truncated Laplace Transforms. Preprints 2020, 2020090247 Chen, G.; Lastra, A.; Malek, S. Some Notes on the Parametric Gevrey Asymptotics in two Complex Time Variables through Truncated Laplace Transforms. Preprints 2020, 2020090247
Abstract
This paper is a slightly modified, abridged version of a previous work "Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms'' motivated by our contribution in the conference "Formal and Analytic Solutions of Diff. (differential, partial differential, difference, q-difference, q-difference-differential) Equations on the Internet'' (FASnet20). It aims to clarify and give further detail at some crucial points concerning the asymptotic behavior of the solutions of the problems studied in that work.
Keywords
Asymptotic expansion; Borel-Laplace transform; Fourier transform; initial value problem; formal power series; linear partial differential equation; singular perturbation
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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