Journal of Dynamical and Control Systems

, Volume 24, Issue 3, pp 475–495 | Cite as

Hessian Measures in the Aerodynamic Newton Problem

  • L. V. Lokutsievskiy
  • M. I. Zelikin


Simple natural proofs of all known results regarding the aerodynamic Newton problem are obtained. Additional new theorems and new promising formulas in terms of Hessian measures are found.


Aerodynamic Newton problem Hessian measures Legendre transform bi-continuity of the Legendre transform 

Mathematics Subject Classification (2010)

49K30 49J30 



We would like to express deep gratitude to Gerd Wachsmuth for his very important comment concerning Theorem 6.

Funding Information

This work is supported by the Program of the Presidium of the Russian Academy of Sciences N o 01 ‘Fundamental Mathematics and its Applications’ under grant PRAS-18-01 and by the Russian Foundation for Basic Research under grants 17-01-00805 and 17-01-00809.


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Steklov Mathematical Institue of RASMoscowRussia
  2. 2.Faculty of Mechanics and MathematicsLomonosov Moscow State University (MSU)MoscowRussia

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