20 citations · 48 across the 28 of their papers we have counts for
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On parametric Borel summability for linear singularly perturbed Cauchy problems with linear fractional transforms
Alberto Lastra, Stéphane Malek
We consider a family of linear singularly perturbed Cauchy problems which combines partial differential operators and linear fractional transforms. We construct a collection of hol…
Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity
Alberto Lastra, Stéphane Malek
We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter . This is the continuation of a precedent work by the first author. We…
On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference differential initial value Cauchy problems
Alberto Lastra, Stephane Malek
We study the asymptotic behavior of the solutions related to a singularly perturbed q-difference-differential problem in the complex domain. The analytic solution can be splitted a…
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…
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…
On parametric Gevrey asymptotics for some Cauchy problems in quasiperiodic function spaces
Alberto Lastra, Stéphane Malek
We investigate Gevrey asymptotics for solutions to nonlinear parameter depending Cauchy problems with -periodic coefficients, for initial data living in a space of quasiperiodi…