Picard-Vessiot theory for real partial differential fields
arXiv:1302.1703
Abstract
We prove the existence of real Picard-Vessiot extensions for real partial differential fields with real closed field of constants. We establish a Galois correspondence theorem for these Picard-Vessiot extensions and characterize real Liouville extensions of real partial differential fields.
The results in this article were based on a result in a previous paper, where the given proof was incorrect