From algebra to analysis: New proofs of theorems by Ritt and Seidenberg

DOI10.1090/proc/16065zbMath1502.13067arXiv2107.03012OpenAlexW3180731572WikidataQ113822876 ScholiaQ113822876MaRDI QIDQ5039231

No author found.

Publication date: 12 October 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03012

zbMATH Keywords

differential algebraCauchy-Kowalevskaya theoremRitt's theorem of zeroesSeidenberg's embedding theorem

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Derivations and commutative rings (13N15) Differential algebra (12H05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ax-Schanuel for the \(j\)-function
• Strong minimality and the \(j\)-function
• Sums of products of functions of x times functions of y
• Differential Galois theory of linear difference equations
• An orderly linear PDE system with analytic initial conditions with a non-analytic solution.
• Rolling simplexes and their commensurability. III: Capelli identities and their application to differential algebras
• Bezout-type theorems for differential fields
• A Course in Complex Analysis
• Differential Algebra and System Modeling in Cellular Biology
• Geometry of Differential Polynomial Functions, III: Moduli Spaces
• Model Theory and Differential Equations
• Abstract Differential Algebra and the Analytic Case

This page was built for publication: From algebra to analysis: New proofs of theorems by Ritt and Seidenberg