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arXiv · 1507.06338

On parameterized differential Galois extensions

Omar Leon Sanchez·Joel Nagloo
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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.

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Omar Leon Sanchez, Joel Nagloo. 2015-07-22. On parameterized differential Galois extensions. https://doi.org/10.1016/j.jpaa.2015.12.001

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