Submitted:
29 September 2020
Posted:
30 September 2020
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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
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