On parametric Gevrey asymptotics for some nonlinear initial value problems in symmetric complex time variables
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/43789DOI: 10.3233/ASY-191568
ISSN: 0921-7134
Publisher
IOS Press
Date
2020-05-14Funders
Ministerio de Economía y Competitividad
Bibliographic citation
Lastra, A. & Malek, S. 2020, “On parametric Gevrey asymptotics for some nonlinear initial value problems in symmetric complex time variables”, Asymptotic Analysis, vol. 118, no. 1-2, pp. 49-79
Keywords
Asymptotic expansion
Borel-Laplace transform
Fourier transform
Initial value problem
Formal power series
Nonlinear integro-differential equation
Nonlinear partial differential equation
Singular perturbation
Project
info:eu-repo/grantAgreement/MINECO//MTM2016-77642-C2-1-P/ES/Algebra y geometría en sistemas dinámicos y foliaciones singulares/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.3233/ASY-191568Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2020 IOS Press
Access rights
info:eu-repo/semantics/openAccess
Abstract
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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