%0 Journal Article
%A Lastra Sedano, Alberto
%A Malek, Stephane
%A Sanz, Javier
%T Strongly regular multi-level solutions of singularly perturbed linear partial differential equations
%D 2016
%@ 1422-6383
%U http://hdl.handle.net/10017/41438
%X 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 asymptotically represented by a formal power series in the perturbation parameter. The geometry of the problem and the nature of the elements involved in it give rise to different asymptotic levels related to the so-called strongly regular sequences. The result leans on a novel version of amulti-level Ramis-Sibuya theorem.
%K Linear partial differential equations
%K Singular perturbations
%K Formal power series
%K Borel-Laplace transform
%K Borel summability
%K Gevrey asymptotic expansions
%K Strongly regular sequence
%K Matemáticas
%K Mathematics
%~ Biblioteca Universidad de Alcala