On parameterized differential Galois extensions
Logic
2017-08-16 v2
Abstract
We prove some existence results on parameterized strongly normal extensions for logarithmic equations. We generalize a result in [Wibmer, Existence of d-parameterized Picard-Vessiot extensions over fields with algebraically closed constants, J. Algebra, 361, 2012]. We also consider an extension of the results in [Kamensky and Pillay, Interpretations and differential Galois extensions, Preprint 2014] from the ODE case to the parameterized PDE case.
Cite
@article{arxiv.1507.06338,
title = {On parameterized differential Galois extensions},
author = {Omar Leon Sanchez and Joel Nagloo},
journal= {arXiv preprint arXiv:1507.06338},
year = {2017}
}