Hessian Measures in the Aerodynamic Newton Problem
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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.
KeywordsAerodynamic 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.
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.