-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/