2021
DOI: 10.48550/arxiv.2104.09548
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Real Liouvillian Extensions of Partial Differential Fields

Teresa Crespo,
Zbigniew Hajto,
Rouzbeh Mohseni

Abstract: In this paper, we consider real partial differential fields with a real closed field of constants. For an integrable differential system defined over such a field, we prove that there exists a real Picard-Vessiot extension. Moreover, two real Picard-Vessiot extensions for the same system with orderings restricting to the same ordering on the base field are isomorphic as differential extensions. We obtain a Galois fundamental theorem in this setting. We characterise real Liouvillian extensions of real partial d… Show more

Help me understand this report
View published versions

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 12 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?