14-53 A. Lastra, S. Malek
Multi-level Gevrey solutions of singularly perturbed linear partial differential equations (545K, pdf) Jul 8, 14
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. We study the asymptotic behavior of the solutions related to a family of singularly perturbed linear partial differential equations in the complex domain. The analytic solutions obtained by means of a Borel-Laplace summation procedure are represented by a formal power series in the perturbation parameter. Indeed, the geometry of the problem gives rise to a decomposition of the formal and analytic solutions so that a multi-level Gevrey order phenomenon appears. This result leans on a Malgrange-Sibuya theorem in several Gevrey levels.

Files: 14-53.src( 14-53.keywords , MultilevelGevrey_LastraMalek.pdf.mm )