Geodesic
Uniform attractors for nonautonomous parabolic equations involving weighted $p$-Laplacian operators
Cung The Anh1 ; Nguyen Van Quang1
1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam
Annales Polonici Mathematici, Tome 98 (2010) no. 3, pp. 251-271

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap98-3-5
Keywords: consider first initial boundary value problem nonautonomous quasilinear degenerate parabolic equations involving weighted p laplacian operators which nonlinearity satisfies polynomial condition arbitrary order external force normal using asymptotic priori estimate method prove existence uniform attractors problem results particular improve recent nonautonomous p laplacian equations

Cung The Anh 1 ; Nguyen Van Quang 1

1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam 
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Cung The Anh; Nguyen Van Quang. Uniform attractors for nonautonomous parabolic equations involving weighted $p$-Laplacian operators. Annales Polonici Mathematici, Tome 98 (2010) no. 3, pp. 251-271. doi: 10.4064/ap98-3-5

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