Pullback attractors for nonautonomous parabolic equations involving weighted $p$-Laplacian operators
Annales Polonici Mathematici, Tome 101 (2011) no. 1, pp. 1-19
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
using asymptotic priori estimate method prove existence pullback attractors nonautonomous quasilinear degenerate parabolic equations involving weighted p laplacian operators bounded domains without restriction growth order polynomial type nonlinearity exponential growth external force results obtained improve recent nonautonomous reaction diffusion equations moreover relationship between pullback attractors uniform attractors given
Affiliations des auteurs :
Cung The Anh 1 ; Tang Quoc Bao 1
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author = {Cung The Anh and Tang Quoc Bao},
title = {Pullback attractors for nonautonomous parabolic equations involving weighted $p${-Laplacian} operators},
journal = {Annales Polonici Mathematici},
pages = {1--19},
publisher = {mathdoc},
volume = {101},
number = {1},
year = {2011},
doi = {10.4064/ap101-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap101-1-1/}
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Cung The Anh; Tang Quoc Bao. Pullback attractors for nonautonomous parabolic equations involving weighted $p$-Laplacian operators. Annales Polonici Mathematici, Tome 101 (2011) no. 1, pp. 1-19. doi: 10.4064/ap101-1-1
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