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

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

2012-02-27

arxiv.org/abs/1202.6068v2

Mathematics

Analysis of PDEs

Scientific paper

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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