Hessian measures in the aerodynamic Newton problem
L.V. Lokutsievskiy, M.I. Zelikin

TL;DR
This paper presents simplified proofs of existing results in the aerodynamic Newton problem, introduces new theorems and formulas involving Hessian measures, and highlights the impact of critical comments on the research.
Contribution
It offers new proofs, additional theorems, and formulas related to Hessian measures in the aerodynamic Newton problem, advancing theoretical understanding.
Findings
Simplified proofs of known results
New theorems involving Hessian measures
Promising new formulas in the field
Abstract
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. We would like to express our deep gratitude to Gerd Wachsmuth for his very important comment which turned one result upside down. Please ignore version 1 of the article.
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