Strongly regular multi-level solutions of singularly perturbed linear partial differential equations
We study the asymptotic behavior of the solutions related to a family of singularly perturbed partial differential equations in the complex domain. The analytic solutions are asymptotically represented by a formal power series in the perturbation parameter. The geometry of the problem and the nature...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/41438 |
| Acceso en línea: | http://hdl.handle.net/10017/41438 https://dx.doi.org/10.1007/s00025-015-0493-8 |
| Access Level: | acceso abierto |
| Palabra clave: | Linear partial differential equations Singular perturbations Formal power series Borel-Laplace transform Borel summability Gevrey asymptotic expansions Strongly regular sequence Matemáticas Mathematics |
| Sumario: | We study the asymptotic behavior of the solutions related to a family of singularly perturbed partial differential equations in the complex domain. The analytic solutions are asymptotically represented by a formal power series in the perturbation parameter. The geometry of the problem and the nature of the elements involved in it give rise to different asymptotic levels related to the so-called strongly regular sequences. The result leans on a novel version of amulti-level Ramis-Sibuya theorem. |
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