On the long-time behaviour of solutions of the p-Laplacian parabolic system
Paweł Goldstein (2008)
Colloquium Mathematicae
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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 , and in the variable exponent case, L² and -weak.