Picard--Vessiot structures
Classical Analysis and ODEs
2018-08-27 v2 Logic
Representation Theory
Abstract
We demonstrate existence and uniqueness of Picard--Vessiot extensions satisfying prescribed properties, for systems of linear differential equations over a field satisfying the same properties, under some closure assumptions on the field of constants. An example includes the case of a equations over a real field, with a real-closed field of constants. The result is obtained through a model theoretic approach.
Keywords
Cite
@article{arxiv.1308.6191,
title = {Picard--Vessiot structures},
author = {Moshe Kamensky},
journal= {arXiv preprint arXiv:1308.6191},
year = {2018}
}
Comments
This was a preliminary version that is superseded by arXiv:1409.5915