Formal power series solutions with coefficients defined on shrinking discs for some partial differential equations
Analysis of PDEs
2025-12-09 v1
Abstract
In this paper conditions, under which an integro-differential operator is a linear automorphism, are provided. Alternatively, the problem can be considered in terms of existence of a unique formal power series solution for a linear Cauchy problem, where the coefficients of the solution are of a certain Gevrey order on progressively shrinking domains.
Cite
@article{arxiv.2512.06470,
title = {Formal power series solutions with coefficients defined on shrinking discs for some partial differential equations},
author = {Alberto Lastra and Sławomir Michalik and Maria Suwińska},
journal= {arXiv preprint arXiv:2512.06470},
year = {2025}
}
Comments
19 pages