Geodesic
On the long-time behaviour of solutions of the $p$-Laplacian parabolicsystem
Paweł Goldstein1
1 Instytut Matematyki Uniwersytet Warszawski Banacha 2 02-097 Warszawa, Poland
Colloquium Mathematicum, Tome 113 (2008) no. 2, pp. 267-278.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 ${\mathcal{C}}^1_{\rm loc}$, and in the variable exponent case, $L^2$ and $W^{1,p(x)}$-weak.
DOI : 10.4064/cm113-2-8
Keywords: convergence global solutions stationary solutions class degenerate parabolic systems related p laplacian operator proved similar result obtained variable exponent constant convergence proved mathcal loc variable exponent weak

Paweł Goldstein 1

1 Instytut Matematyki Uniwersytet Warszawski Banacha 2 02-097 Warszawa, Poland 
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Paweł Goldstein. On the long-time behaviour of solutions of the $p$-Laplacian parabolicsystem. Colloquium Mathematicum, Tome 113 (2008) no. 2, pp. 267-278. doi : 10.4064/cm113-2-8. http://geodesic.mathdoc.fr/articles/10.4064/cm113-2-8/

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