Estimates of weak solutions to nondiagonal quasilinear parabolic systems

• Autorzy: Dmitry Portnyagin
• Języki publikacji: EN

Abstrakty

EN

$L^{∞}$-estimates of weak solutions are established for a quasilinear non-diagonal parabolic system with a special structure whose leading terms are modelled by p-Laplacians. A generalization of the weak maximum principle to systems of equations is employed.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 85
• Numer: 1
• Strony: 55-75

Daty

wydano

2005

Twórcy

autor

Dmitry Portnyagin

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

Identyfikatory

DOI

10.4064/ap85-1-5