-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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-5,
author = {Dmitry Portnyagin},
title = {Estimates of weak solutions to nondiagonal quasilinear parabolic systems},
journal = {Annales Polonici Mathematici},
volume = {85},
year = {2005},
pages = {55-75},
zbl = {1077.35035},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-5}
}
Dmitry Portnyagin. Estimates of weak solutions to nondiagonal quasilinear parabolic systems. Annales Polonici Mathematici, Tome 85 (2005) pp. 55-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-1-5/