RT info:eu-repo/semantics/article
T1 Strongly regular multi-level solutions of singularly perturbed linear partial differential equations
A1 Lastra Sedano, Alberto
A1 Malek, Stephane
A1 Sanz, Javier
K1 Linear partial differential equations
K1 Singular perturbations
K1 Formal power series
K1 Borel-Laplace transform
K1 Borel summability
K1 Gevrey asymptotic expansions
K1 Strongly regular sequence
K1 Matemáticas
K1 Mathematics
AB 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.
PB Springer Verlag
SN 1422-6383
YR 2016
FD 2016-11-01
LK http://hdl.handle.net/10017/41438
UL http://hdl.handle.net/10017/41438
LA eng
NO Ministerio de Economía y Competitividad
DS MINDS@UW
RD 19-abr-2024