一类非自治半线性强退化抛物型方程的回拉吸引子

SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY Pub Date : 2023-02-11 DOI:10.51453/2354-1431/2022/840

Nguyễn Xuân Tú, Diep Ha Thi Huyen, Nguyen Khong Chi

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摘要

本文利用渐近先验估计方法，证明了一类非自治半线性强退化抛物型方程在任意区域上，不受多项式型非线性增长阶的限制，且具有适当的外力指数增长的下拉吸引子的存在性。所得结果改进了非自治反应扩散方程的一些最新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMILINEAR STRONGLY DEGENERATE PARABOLIC EQUATION

In this paper, using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semilinear strongly 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.

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SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY

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