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arXiv · 1806.04615

On parametric Gevrey asymptotics for some nonlinear initial value problems in two complex time variables

Alberto Lastra·Stephane Malek
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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 $ε$ 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.

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Alberto Lastra, Stephane Malek. 2018-06-12. On parametric Gevrey asymptotics for some nonlinear initial value problems in two complex time variables. https://arxiv.org/abs/1806.04615

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