Asymptotics for linear singularly perturbed equations under the action of linear fractional transforms

par M. Alberto Lastra (Universidad de Alcalá)

mardi 12 oct. 2021, 14:00 → 15:00 Europe/Paris

We study a family of  linear singularly perturbed Cauchy problems whose equations combine the action of partial differential operators and linear fractional transforms. The geometry of the problem in the Borel plane is explained, giving rise to Gevrey asymptotic results relating the analytic solution and the formal one. The main results lean on the knowledge of some properties related to Lambert W function, providing asymptotic expansions with respect to the perturbation parameter near the origin.