Summability in a monomial for some classes of singularly perturbed partial differential equations
Copyright policy )Summability in a monomial for some classes of singularly perturbed partial differential equations
The aim of this paper is to continue 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.
singularly perturbed PDEs, 34M30, 34E05, Borel summability, Singularly perturbed pdes, monomial summability, Asymptotic expansions of solutions to PDEs, Mathematics - Classical Analysis and ODEs, 34M30, 34E05, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Series solutions to PDEs, Monomial summability, Singular perturbations in context of PDEs
singularly perturbed PDEs, 34M30, 34E05, Borel summability, Singularly perturbed pdes, monomial summability, Asymptotic expansions of solutions to PDEs, Mathematics - Classical Analysis and ODEs, 34M30, 34E05, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Series solutions to PDEs, Monomial summability, Singular perturbations in context of PDEs
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