On the summability of divergent power series solutions for certain first-order linear PDEs
Copyright policy )On the summability of divergent power series solutions for certain first-order linear PDEs
This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type. Our main purpose is to obtain conditions which coefficients of equations should satisfy in order to ensure the Borel summability of divergent solutions. We will see that there is a close affinity between the Borel summability of divergent solutions and global analytic continuation properties for coefficients of equations.
divergent power series, analytic continuation, T57-57.97, asymptotic expansion, integral equation, Applied mathematics. Quantitative methods, integro-differential equation, partial differential equation, summability
divergent power series, analytic continuation, T57-57.97, asymptotic expansion, integral equation, Applied mathematics. Quantitative methods, integro-differential equation, partial differential equation, summability
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).12 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!