Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations

• Published in: Український математичний журнал
• Date: 2006
• Main Author: Portnyagin, D.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165385
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations / D.V. Portnyagin // Український математичний журнал. — 2006. — Т. 58, № 8. — С. 1084–1096. — Бібліогр.: 11 назв. — англ.

The L∞-estimates of weak solutions are established for a quasilinear nondiagonal parabolic system of singular equations whose matrix of coefficients satisfies special structural conditions. A procedure based on the estimation of linear combinations of the unknowns is used. L∞ - оцінки слабких розв&#...