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Relative D-groups and differential Galois theory in several derivations
2015
Transactions of the American Mathematical Society
Preserved Fulltext
The Galois theory of logarithmic differential equations with respect to relative D-groups in partial differential-algebraic geometry is developed. This theory generalizes simultaneusly the parametrized Picard-Vessiot theory of Cassidy and Singer and the finite-dimensional theory of Pillay's generalized strongly normal extensions.
doi:10.1090/s0002-9947-2015-06249-7
fatcat:v3gyfjeaarhzxmqplixkadlksu