PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMI-LINEAR DEGENERATE PARABOLIC EQUATION
PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMI-LINEAR DEGENERATE PARABOLIC EQUATION
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DOI：
10.1017/s0017089510000418
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发表时间：
2010-08
影响因子：
0.5
通讯作者：
T. Bao
中科院分区：
文献类型：
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作者：
T. Bao
本文利用渐近先验估计方法，在不限制多项式型非线性项的增长阶数和外力的指数增长的条件下，证明了任意区域上非自治半线性退化抛物方程的拉回吸引子的存在性。所得结果改进了最近关于非自治反应扩散方程的一些结果。
Abstract In this paper, using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semi-linear degenerate parabolic equation in an arbitrary domain, without restriction on the growth order of the polynomial type non-linearity and with a suitable exponential growth of the external force. The obtained results improve some recent ones for the non-autonomous reaction–diffusion equations.