Alberto Lastra, Stephane Malek
On parametric Gevrey asymptotics for some nonlinear initial value 
problems in two complex time variables
(720K, pdf)

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.