An extension of Borel-Laplace methods and monomial summability
arXiv:1609.07893 · doi:10.1016/j.jmaa.2017.08.028
Abstract
In this paper we will show that monomial summability can be characterized using Borel-Laplace like integral transformations depending of a parameter . We will apply this result to prove 1-summability in a monomial of formal solutions of a family of partial differential equations.
17 pages