STABLE LOWER ESTIMATES FOR SMOOTH MAPPINGS AND FOR GRADIENTS OF SMOOTH FUNCTIONS

DOI10.1070/SM1973v019n03ABEH001788zbMath0281.26009MaRDI QIDQ4767517

Nikolaiĭ N. Nekhoroshev

Publication date: 1974

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10) Real polynomials: analytic properties, etc. (26C05)

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Generic perturbations of linear integrable Hamiltonian systems, The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems, Hamiltonian stability and subanalytic geometry, Bernstein-Remez inequality for algebraic functions: a topological approach, Superexponential stability of quasi-periodic motion in Hamiltonian systems, On steepness of 3-jet non-degenerate functions, On the algebraic properties of exponentially stable integrable Hamiltonian systems, The steep Nekhoroshev's theorem