On parametric Gevrey asymptotics for some initial value problems in two asymmetric complex time variables
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/41474DOI: 10.1007/s00025-018-0914-6
ISSN: 1422-6383
Editor
Springer Verlag
Fecha de publicación
2018-11-01Patrocinadores
Ministerio de Economía y Competitividad
Cita bibliográfica
Lastra, A. & Malek, S. 2018, “On parametric Gevrey asymptotics for some initial value problems in two asymmetric complex time variables”, Results in Mathematics, vol. 73, article 155
Palabras clave
Asymptotic expansion
Borel-Laplace transform
Fourier transform
Initial value problem
Formal power series
Nonlinear integro-differential equation
Nonlinear partial differential equation
Singular perturbation
Proyectos
info:eu-repo/grantAgreement/MINECO//MTM2016-77642-C2-1-P/ES/Algebra y geometría en sistemas dinámicos y foliaciones singulares/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1007/s00025-018-0914-6Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2018 Springer Verlag
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
We study a family of nonlinear initial value problem for partial differential equations in the complex domain under the action of two asymmetric time variables. Different Gevrey bounds and multisummability results are obtained depending on each element of the family, providing a more complete picture on the asymptotic behavior of the solutions of PDEs in the complex domain in several complex variables.
The main results lean on a fixed point argument in certain Banach space in the Borel plane, together
with a Borel summability procedure and the action of different Ramis-Sibuya type theorems.
Ficheros en el ítem
Ficheros | Tamaño | Formato |
|
---|---|---|---|
On_parametric_Lastra_Results_M ... | 1.000Mb |
|
Ficheros | Tamaño | Formato |
|
---|---|---|---|
On_parametric_Lastra_Results_M ... | 1.000Mb |
|
Colecciones
- MATEMATIC - Artículos [172]