On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference differential initial value Cauchy problems
Year: 2016
Type: preprint
Abstract: We study the asymptotic behavior of the solutions related to a singularly perturbed q-difference-differential problem in the complex domain. The analytic solution can be splitted according to the nature of the equation and its geometry so that both, Gevrey and q-Gevrey asymptotic phenomena are observed and can be distinguished, relating the analytic and the formal solution. The proof leans on a two level novel version of Ramis-Sibuya theorem under Gevrey and q-Gevrey orders.
Source: arXiv (Cornell University)
Authors: Lastra, Alberto, Malek, Stephane
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949430441