Geodesic
Pullback attractors for nonautonomous parabolic equations involving weighted $p$-Laplacian operators
Cung The Anh1 ; Tang Quoc Bao1
1Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
Annales Polonici Mathematici, Tome 101 (2011) no. 1, pp. 1-19
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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.
DOI : 10.4064/ap101-1-1
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

Cung The Anh  1   ; Tang Quoc Bao  1

1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam 
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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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