Pullback attractors for nonautonomous parabolic equations involving weighted $p$-Laplacian operators
Volume 101 / 2011
Annales Polonici Mathematici 101 (2011), 1-19
MSC: 35B41, 35K65, 35D05.
DOI: 10.4064/ap101-1-1
Abstract
Using the asymptotic a priori estimate method, we prove the existence of pullback attractors for nonautonomous quasilinear degenerate parabolic equations involving weighted $p$-Laplacian operators in bounded domains, without restriction on the growth order of the polynomial type nonlinearity and on the exponential growth of the external force. The results obtained improve some recent ones for nonautonomous reaction-diffusion equations. Moreover, a relationship between pullback attractors and uniform attractors is given.
