On parametric Gevrey asymptotics for some nonlinear initial value problems in symmetric complex time variables
The asymptotic behavior of a family of singularly perturbed PDEs in two time variables in the complex domain is studied. The appearance of a multilevel Gevrey asymptotics phenomenon in the perturbation parameter is observed. We construct a family of analytic sectorial solutions in which share a comm...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/43789 |
| Acesso em linha: | http://hdl.handle.net/10017/43789 https://dx.doi.org/10.3233/ASY-191568 |
| Access Level: | acceso abierto |
| Palavra-chave: | Asymptotic expansion Borel-Laplace transform Fourier transform Initial value problem Formal power series Nonlinear integro-differential equation Nonlinear partial differential equation Singular perturbation Matemáticas Mathematics |
| Resumo: | The asymptotic behavior of a family of singularly perturbed PDEs in two time variables in the complex domain is studied. The appearance of a multilevel Gevrey asymptotics phenomenon in the perturbation parameter is observed. We construct a family of analytic sectorial solutions in which share a common asymptotic expansión at the origin, in different Gevrey levels. Such orders are produced by the action of the two independent time variables. |
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