Algebraic and geometric structures of analytic partial differential equations

DOI10.1134/S0040577916110052zbMath1359.35006OpenAlexW2559748485WikidataQ115248207 ScholiaQ115248207MaRDI QIDQ520979

Oleg V. Kaptsov

Publication date: 6 April 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916110052

zbMATH Keywords

Gröbner basisreductioninfinite-dimensional manifoldcompatibility of differential equations

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Intermediate Systems and Higher-Order Differential Constraints

Uses Software

• Maple

Cites Work

• Local algebraic analysis of differential systems
• Transformation groups in network spaces
• Involution. The formal theory of differential equations and its applications in computer algebra
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• Systems of generators for ideals of algebra of convergent differential series
• Sufficient set of integrability conditions of an orthonomic system
• Ideals, Varieties, and Algorithms
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