On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference-differential initial value Cauchy problems
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 obser...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/41440 |
| Acceso en línea: | http://hdl.handle.net/10017/41440 https://dx.doi.org/10.1080/10236198.2017.1337104 |
| Access Level: | acceso abierto |
| Palabra clave: | Asymptotic expansion Borel-Laplace transform Fourier transform Cauchy problem Formal power series Nonlinear integro-differential equation Nonlinear partial differential equation Singular perturbation Matemáticas Mathematics |
| Sumario: | 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. |
|---|