On uniform attractors for non-autonomous $p$-Laplacian equation with a dynamic boundary condition
Keywords
Parabolic equations, dynamic boundary condition, uniform attractorAbstract
In this paper, we consider the non-autonomous p-Laplacian equation with a dynamic boundary condition. The existence and structure of a compact uniform attractor in $W^{1,p}(\Omega)\times W^{1-1/p,p}(\Gamma)$ are established for the case of time-dependent internal force $h(t)$. While the nonlinearity $f$ and the boundary nonlinearity $g$ are dissipative for large values without restriction on the growth order of the polynomial.Downloads
Published
2013-04-22
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1.
YANG, Lu, YANG, Meihua and WU, Jie. On uniform attractors for non-autonomous $p$-Laplacian equation with a dynamic boundary condition. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 42, no. 1, pp. 169 - 180. [Accessed 19 September 2024].
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