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math.AP2015
Strongly regular multi-level solutions of singularly perturbed linear partial differential equations
Alberto Lastra, Stéphane Malek, Javier Sanz
We study the asymptotic behavior of the solutions related to a family of singularly perturbed partial differential equations in the complex domain. The analytic solutions are asymp…
math.AP2015
On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems
Alberto Lastra, Stephane Malek
We study a nonlinear initial value Cauchy problem depending upon a complex perturbation parameter whose coefficients depend holomorphically on near the origin in $\math…