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In this paper, we prove that the semigroup generated by the Cauchy problem of the evolution p-Laplacian equation () is continuous form a weighted space to the continuous space . Then we use this property to reveal the fact that the evolution p-Laplacian equation generates a chaotic dynamical system on some compact subsets of . For this purpose, we need to establish the propagation estimates and the space-time decay estimates for the solutions first.

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