Systems of n Partial Differential Equations in n Unknown Functions: the Conjecture of M. Janet

DOI10.2307/1997742zbMath0405.12022OpenAlexW4253607554WikidataQ123333371 ScholiaQ123333371MaRDI QIDQ4190723

Joseph Johnson

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2307/1997742

zbMATH Keywords

Algebraic Differential EquationDependence of Solutions

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Differential algebra (12H05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Abstract differential equations (12H20) Modules of differentials (13N05)

Related Items (10)

Jacobi's bound for a diffiety defined by a quasi-regular system ⋮ Differential and difference algebra ⋮ Grade filtration of linear functional systems. ⋮ Computation of differential Chow forms for ordinary prime differential ideals ⋮ Jacobi's bound: Jacobi's results translated in Kőnig's, Egerváry's and Ritt's mathematical languages ⋮ Jacobi's bound for systems of algebraic differential equations ⋮ Dimension in the realm of transseries ⋮ A geometric index reduction method for implicit systems of differential algebraic equations ⋮ On the index and the order of quasi-regular implicit systems of differential equations ⋮ Jacobi's bound for independent systems of algebraic partial differential equations

This page was built for publication: Systems of n Partial Differential Equations in n Unknown Functions: the Conjecture of M. Janet