18-70 Alberto Lastra, Stephane Malek

On parametric Gevrey asymptotics for some nonlinear initial value problems in two complex time variables (720K, pdf) Jun 12, 18

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Abstract. The asymptotic behaviour of a family of singularly perturbed PDEs in two times 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 which share a common asymptotic expansion at the origin, in different Gevrey levels. Such orders are produced by the action of two independent time variables.

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