Cung The Anh; Nguyen Van Quang Uniform attractors for a non-autonomous parabolic equation involving Grushin operator. (English) Zbl 1227.35077 Acta Math. Vietnam. 36, No. 1, 19-33 (2011). Summary: We consider the first initial boundary value problem for a non-autonomous semilinear degenerate parabolic equation involving the Grushin operator, 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 obtained results, in particular, improve some recent ones for the non-autonomous Laplacian equation. Cited in 2 Documents MSC: 35B41 Attractors 35K65 Degenerate parabolic equations 35K58 Semilinear parabolic equations 35K20 Initial-boundary value problems for second-order parabolic equations Keywords:homogeneous Dirichlet boundary conditions PDFBibTeX XMLCite \textit{Cung The Anh} and \textit{Nguyen Van Quang}, Acta Math. Vietnam. 36, No. 1, 19--33 (2011; Zbl 1227.35077) Full Text: Link