On parametric Gevrey asymptotics for some nonlinear initial value problems in two complex time variables
Complex Variables
2018-06-13 v1 Analysis of PDEs
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 expansion at the origin, in different Gevrey levels. Such orders are produced by the action of the two independent time variables.
Cite
@article{arxiv.1806.04615,
title = {On parametric Gevrey asymptotics for some nonlinear initial value problems in two complex time variables},
author = {Alberto Lastra and Stephane Malek},
journal= {arXiv preprint arXiv:1806.04615},
year = {2018}
}