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Uniform attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators
Annales Polonici Mathematici Số 3, năm 2010 (Tập 98, trang 251-271)
ISSN: 662216
ISSN: 662216
DOI: 10.4064/ap98-3-5
Tài liệu thuộc danh mục: Scopus
Article
English
Tóm tắt tiếng anh
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. Instytut Matematyczny PAN, 2010.