Pullback attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators

Cung The Anh, and Tang Quoc Bao. "Pullback attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators." Annales Polonici Mathematici 101.1 (2011): 1-19. <http://eudml.org/doc/280181>.

@article{CungTheAnh2011,
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.},
author = {Cung The Anh, Tang Quoc Bao},
journal = {Annales Polonici Mathematici},
keywords = {uniform attractor; compactness and monotonicity methods},
language = {eng},
number = {1},
pages = {1-19},
title = {Pullback attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators},
url = {http://eudml.org/doc/280181},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Cung The Anh
AU - Tang Quoc Bao
TI - Pullback attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 1
SP - 1
EP - 19
AB - 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.
LA - eng
KW - uniform attractor; compactness and monotonicity methods
UR - http://eudml.org/doc/280181
ER -