Upper bounds on second order operators, acting on metric function

• Published in: Український математичний вісник
• Date: 2007
• Main Author: Antoniouk, A.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124513
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Upper bounds on second order operators, acting on metric function / A.V. Antoniouk // Український математичний вісник. — 2007. — Т. 4, № 2. — С. 163-172. — Бібліогр.: 12 назв. — англ.

We prove upper bounds on the general second order operator acting on metric function. The suggested approach does not use traditional formulas for deviations of geodesics and Jacobi fields construction and leads to the manifolds generalization of the classical coercitivity and dissipativity conditio...