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- W2938337361 abstract "We study a family of partial differential equations in the complex domain, under the action of a complex perturbation parameter $epsilon$. We construct inner and outer solutions of the problem and relate them to asymptotic representations via Gevrey asymptotic expansions with respect to $epsilon$, in adequate domains. The construction of such analytic solutions is closely related to the procedure of summation with respect to an analytic germ, put forward in[J. Mozo-Fernandez, R. Schafke, Asymptotic expansions and summability with respect to an analytic germ, Publ. Math. 63 (2019), no. 1, 3--79.], whilst the asymptotic representation leans on the cohomological approach determined by Ramis-Sibuya Theorem." @default.
- W2938337361 created "2019-04-25" @default.
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- W2938337361 date "2019-04-09" @default.
- W2938337361 modified "2023-09-23" @default.
- W2938337361 title "Boundary layer expansions for initial value problems with two complex time variables" @default.
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