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Mathematics > Classical Analysis and ODEs

Title: Summability in a monomial for some classes of singularly perturbed partial differential equation

Abstract: The aim of this paper is to complete the study of asymptotic expansions and summability in a monomial in any number of variables. In particular we characterize these expansions in terms of bounded derivatives and we develop tauberian theorems for the summability processes involved. Furthermore, we develop and apply the Borel-Laplace analysis in this framework to prove the monomial summability of solutions of a specific class of singularly perturbed PDEs.
Subjects: Classical Analysis and ODEs (math.CA)
MSC classes: 34M30, 34E05
Cite as: arXiv:1803.06719 [math.CA]
  (or arXiv:1803.06719v1 [math.CA] for this version)

Submission history

From: Sergio Alejandro Carrillo-Torres [view email]
[v1] Sun, 18 Mar 2018 19:16:40 GMT (40kb)