Mappings with a composite part and with a constant Jacobian

DOI10.1016/S0893-9659(98)00031-7zbMath0981.26012MaRDI QIDQ1808912

Ronen Peretz

Publication date: 17 January 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Burgers equationautomorphismsrational solutionsJacobian conjectureetalelocal structure of maps

Mathematics Subject Classification ID

Jacobian problem (14R15) KdV equations (Korteweg-de Vries equations) (35Q53) Implicit function theorems, Jacobians, transformations with several variables (26B10) Hyperbolic equations and hyperbolic systems (35L99)

Cites Work

• The total reducibility order of a polynomial in two variables
• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• Keller's problem
• An effective approach to Keller's Jacobian conjecture
• On relations between Jacobians and minimal polynomials
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• The formal inverse and the Jacobian Conjecture

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