Estimates of weak solutions to nondiagonal quasilinear parabolic systems
Dmitry Portnyagin
Annales Polonici Mathematici, Tome 85 (2005), p. 55-75 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:280222
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     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}
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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/