Local solvability of fully nonlinear parabolic problems of higher order

• Published in: Нелинейные граничные задачи
• Date: 2000
• Main Author: Romanenko, I.B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2000
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169252
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Local solvability of fully nonlinear parabolic problems of higher order / I.B. Romanenko // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 156-161. — Бібліогр.: 3 назв. — англ.

The paper is devoted to reduction of fully nonlinear parabolic problems of high order to operator equations involving operator satisfying (S₊) condition. The topological methods could be used to investigate solvability of such operator equations. The theorems of uniqueness and local existence for so...