On the long-time behaviour of solutions of the p-Laplacian parabolic system
Paweł Goldstein
Colloquium Mathematicae, Tome 111 (2008), p. 267-278 / Harvested from The Polish Digital Mathematics Library
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Convergence of global solutions to stationary solutions for a class of degenerate parabolic systems related to the p-Laplacian operator is proved. A similar result is obtained for a variable exponent p. In the case of p constant, the convergence is proved to be ¹loc, and in the variable exponent case, L² and W1,p(x)-weak.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:283606 
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Paweł Goldstein. On the long-time behaviour of solutions of the p-Laplacian parabolic system. Colloquium Mathematicae, Tome 111 (2008) pp. 267-278. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-8/