Article ID Journal Published Year Pages File Type
4613652 Journal of Differential Equations 2006 30 Pages PDF
Abstract

Under a certain restriction, singular first-order linear partial differential equations of nilpotent type with two variables are divided into two classes. In the previous paper Part I, we dealt with the one class, and comprehended that there was a close affinity between the Borel summability of divergent solutions and global analytic continuation properties for coefficients. In this Part II, we give a similar consideration on the other class. More precise global estimates than those given in Part I for coefficients will be required to prove the Borel summability of divergent solutions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis