High order symmetries of variations and nonlinear quasi-contractive estimates approach to the parabolic regularity problems

• Published in: Нелинейные граничные задачи
• Date: 2002
• Main Authors: Antoniouk, A.Val., Antoniouk, A.Vict.
• Format: Article
• Language: Russian
• Published: Інститут прикладної математики і механіки НАН України 2002
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169209
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: High order symmetries of variations and nonlinear quasi-contractive estimates approach to the parabolic regularity problems / A.Val. Antoniouk, A.Vict. Antoniouk // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 3-12. — Бібліогр.: 20 назв. — англ.

The correct definition of differential operators and different mathematical objects naturally requires the construction of functional spaces of their action and the study of associated regularity problems. There is Cauchy-Liouville-Picard regularity scheme, created initially for the study of regular...