4 papers
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 complex singularity analysis for some linear partial differential equations in
Alberto Lastra, Stéphane Malek, Catherine Stenger
We investigate the existence of local holomorphic solutions of linear partial differential equations in three complex variables whose coefficients are singular along an analyti…
Strong asymptotic expansions in a multidirection
Alberto Lastra, Jorge Mozo-Fernández, Javier Sanz
In this paper we prove that, for asymptotically bounded holomorphic functions defined in a polysector in , the existence of a strong asymptotic expansion in Majima's…