刘常福, 戴正德. 反应扩散方程在Banach空间的指数吸引子[J]. 云南大学学报(自然科学版), 2003, 25(5): 381-385.
引用本文: 刘常福, 戴正德. 反应扩散方程在Banach空间的指数吸引子[J]. 云南大学学报(自然科学版), 2003, 25(5): 381-385.
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LIU Chang-fu, DAI Zheng-de. The exponential attractors for reaction-diffusion equations in Banach spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(5): 381-385.
Citation: LIU Chang-fu, DAI Zheng-de. The exponential attractors for reaction-diffusion equations in Banach spaces[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(5): 381-385.
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反应扩散方程在Banach空间的指数吸引子

The exponential attractors for reaction-diffusion equations in Banach spaces

    摘要
  • 摘要: 应用能量积分和解析半群的有关估计,证明了一类非线性项为任意次多项式的反应扩散方程非负解在Banach空间Lp(Ω)的子空间Xpα的指数吸引子的存在性.

     

    Abstract: By using energy integral and some estimate of analytic semigroup,the existence of the exponential attractors of positive solutions for a kind of reaction diffusion equations in Banach subspaces Xpα of Lp (Ω) is proved.In this equation the nonlinear term is the polynomial with any order.

     

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