Strongly Regular Multi-level Solutions of Singularly Perturbed Linear Partial Differential Equations

@article{Lastra2015StronglyRM,
  title={Strongly Regular Multi-level Solutions of Singularly Perturbed Linear Partial Differential Equations},
  author={Alberto Lastra and Stephane Malek and Javier Sanz},
  journal={Results in Mathematics},
  year={2015},
  volume={70},
  pages={581-614}
}
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 a multi-level Ramis–Sibuya theorem… 
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