Uniform attractors for nonautonomous parabolic equations involving weighted $p$-Laplacian operators
Volume 98 / 2010
Annales Polonici Mathematici 98 (2010), 251-271
MSC: 35B41, 35K65, 35D05.
DOI: 10.4064/ap98-3-5
Abstract
We consider the first initial boundary value problem for nonautonomous quasilinear degenerate parabolic equations involving weighted $p$-Laplacian operators, in which the nonlinearity satisfies the polynomial condition of arbitrary order and the external force is normal. Using the asymptotic a priori estimate method, we prove the existence of uniform attractors for this problem. The results, in particular, improve some recent ones for nonautonomous $p$-Laplacian equations.
