Full regularity of bounded solutions to nondiagonal parabolic systems of two equations

• Autorzy: Dmitry Portnyagin
• Języki publikacji: EN

Abstrakty

EN

Hölder continuity and, basing on this, full regularity and global existence of weak solutions is studied for a general nondiagonal parabolic system of nonlinear differential equations with the matrix of coefficients satisfying special structure conditions and depending on the unknowns. A technique based on estimating a certain function of unknowns is employed to this end.

Kategorie tematyczne

• 35B50: Maximum principles
• 35K40: Second-order parabolic systems
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 1
• Strony: 69-79

Daty

wydano

2008

Twórcy

autor

Dmitry Portnyagin

• Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsitskii Street, 79011 Lviv, Ukraine

Identyfikatory

DOI

10.4064/am35-1-4