Estimates of weak solutions to nondiagonal quasilinear parabolic systems
Volume 85 / 2005
Annales Polonici Mathematici 85 (2005), 55-75
MSC: Primary 35B50; Secondary 35K40, 35K55.
DOI: 10.4064/ap85-1-5
Abstract
$L^{\infty }$-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.
