On uniform attractors for non-autonomous $p$-Laplacian equation with a dynamic boundary condition

Lu Yang, Meihua Yang, Jie Wu

Abstract


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.

Keywords


Parabolic equations; dynamic boundary condition; uniform attractor

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