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Global Attractors for a Nonclassical Diffusion Equation

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Abstract

We prove the existence of global attractors in \( H^{1}_{0} {\left( \Omega \right)} \) for a nonclassical diffusion equation. Two types of nonlinearity f are considered: one is the critical exponent, and the other is the polynomial growth of arbitrary order.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P. R. China

    Chun You Sun

  2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P. R. China

    Su Yun Wang

  3. Department of Mathematics, Lanzhou Teachers College, Lanzhou, 730070, P. R. China

    Su Yun Wang

  4. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P. R. China

    Cheng Kui Zhong

Authors
  1. Chun You Sun
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  2. Su Yun Wang
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  3. Cheng Kui Zhong
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Correspondence to Chun You Sun.

Additional information

Supported in part by the NSFC, Grant (10471056) and Trans-Century Training Programme Foundation for the Talents of the State Education Commission

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Sun, C.Y., Wang, S.Y. & Zhong, C.K. Global Attractors for a Nonclassical Diffusion Equation. Acta Math Sinica 23, 1271–1280 (2007). https://doi.org/10.1007/s10114-005-0909-6

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  • DOI: https://doi.org/10.1007/s10114-005-0909-6

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