Tauberian properties for monomial summability with applications to Pfaffian systems
arXiv:1603.02840 · doi:10.1016/j.jde.2016.09.017
Abstract
In this paper we will show that monomial summability processes with respect to different monomials are not compatible, except in the (trivial) case of a convergent series. We will apply this fact to the study of solutions of Pfaffian systems with normal crossings, focusing in the implications of the complete integrability condition on these systems.
17 pages
References in corpus (1)
Cited by in corpus (4)
- An extension of Borel-Laplace methods and monomial summability
- On parametric Gevrey asymptotics for some nonlinear initial value problems in two complex time variables
- Summability in a monomial for some classes of singularly perturbed partial differential equation
- Tauberian theorems for --summability with respect to an analytic germ