Geometry of nonlinear differential equations

DOI10.1007/BF01084594zbMath0475.58025OpenAlexW2044408290WikidataQ115394213 ScholiaQ115394213MaRDI QIDQ1159397

Alexandre M. Vinogradov

Publication date: 1981

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084594

zbMATH Keywords

singularitiesCartan distributionsdifferential operators in commutative ringsgeometric foundations of the theory of nonlinear partial differential equationsgeometry and analysis on jet spaceshigher characteristicsinfinitely extended equationsinfinitesimal symmetries of non-linear evolution equationsLagrangian formalism in field theory

Mathematics Subject Classification ID

Jets in global analysis (58A20) Invariance and symmetry properties for PDEs on manifolds (58J70) Partial differential equations on manifolds; differential operators (58J99) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Vector distributions (subbundles of the tangent bundles) (58A30) General topics in partial differential equations (35A99)

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