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arXiv · 1202.6068

Long-time dynamics of the parabolic $p$-Laplacian equation

Pelin Geredeli·Azer Khanmamedov
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Abstract

In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic $p$-Laplacian equation with variable coefficients. Under mild conditions on the coefficient of the principal part and without upper growth restriction on the source function, we prove that this problem possesses a compact and invariant global attractor in $L^{2}(R^{n})$.

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Pelin Geredeli, Azer Khanmamedov. 2012-04-10. Long-time dynamics of the parabolic $p$-Laplacian equation. https://arxiv.org/abs/1202.6068

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