Picard-Vessiot Theory of Partial Differential Fields

DOI10.2307/2032594zbMath0047.33303OpenAlexW4239682855MaRDI QIDQ5813410

E. R. Kolchin

Publication date: 1952

Full work available at URL: https://doi.org/10.2307/2032594

zbMATH Keywords

partial differential equations

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An Extension of Differential Galois Theory ⋮ Differential Galois theory and Darboux transformations for integrable systems ⋮ Real Liouvillian extensions of partial differential fields ⋮ Generalized differential Galois theory ⋮ Picard-Vessiot theory and the Jacobian problem ⋮ Abelian extensions in Picard-Vessiot theory ⋮ Hopf Algebraic Approach to Picard-Vessiot Theory ⋮ Geometric characterization of strongly normal extensions ⋮ Galois theory for the family partial differential equations \(\Delta_\alpha \psi \equiv 0\)