L∞-estimate for solutions of nonlinear parabolic systems
Zajączkowski, Wojciech
Banach Center Publications, Tome 37 (1996), p. 465-490 / Harvested from The Polish Digital Mathematics Library
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We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an L∞-estimate for weak solutions is shown under additional restrictive growth conditions. Finally, L∞-estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The L∞-estimates are obtained by the Di Benedetto methods.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:262704 
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     author = {Zaj\k aczkowski, Wojciech},
     title = {$L\_$\infty$$-estimate for solutions of nonlinear parabolic systems},
     journal = {Banach Center Publications},
     volume = {37},
     year = {1996},
     pages = {465-490},
     zbl = {0857.35056},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p465bwm}
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Zajączkowski, Wojciech. $L_∞$-estimate for solutions of nonlinear parabolic systems. Banach Center Publications, Tome 37 (1996) pp. 465-490. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv33z1p465bwm/

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