Generalization of an Invertible Transformation and Examples of its Applications

DOI10.1142/S1402925111001751zbMath1234.26034OpenAlexW1988299369MaRDI QIDQ3117939

Matteo Sommacal, Mario Bruschi, F. Leyvraz, Francesco Calogero

Publication date: 1 March 2012

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925111001751

zbMATH Keywords

functional equationsDiophantine equationsisochronous discrete-time dynamical systemsexplicitly invertible transformationssolvable algebraic equationssolvable nonautonomous PDEssolvable systems of nonlinear PDEs

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10) General theory of functional equations and inequalities (39B05) Classical solutions to PDEs (35A09)

Cites Work

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• The tame and the wild automorphisms of polynomial rings in three variables
• The Nagata automorphism is wild
• The strong Nagata conjecture
• An Invertible Transformation and Some of its Applications

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