Boundary layer expansions for initial value problems with two complex time variables
Advances in Difference Equations2020Vol. 2020(1)
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Abstract
Abstract We study a family of partial differential equations in the complex domain, under the action of a complex perturbation parameter ϵ . We construct inner and outer solutions of the problem and relate them to asymptotic representations via Gevrey asymptotic expansions with respect to ϵ in adequate domains. The asymptotic representation leans on the cohomological approach determined by the Ramis–Sibuya theorem.
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