Existence of Global Attractors in http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq1_HTML.gif for http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq2_HTML.gif -Laplacian Parabolic Equation in http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq3_HTML.gif

  • Caisheng Chen1Email author,

    Affiliated with

    • Lanfang Shi1, 2 and

      Affiliated with

      • Hui Wang1, 3

        Affiliated with

        Boundary Value Problems20092009:563767

        DOI: 10.1155/2009/563767

        Received: 4 April 2009

        Accepted: 24 July 2009

        Published: 26 August 2009

        Abstract

        We study the long-time behavior of solution for the http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq4_HTML.gif -Laplacian equation http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq5_HTML.gif in http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq6_HTML.gif , in which the nonlinear term http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq7_HTML.gif is a function like http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq8_HTML.gif with http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq9_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq10_HTML.gif , or http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq11_HTML.gif with http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq12_HTML.gif and http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq13_HTML.gif . We prove the existence of a global http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq14_HTML.gif -attractor for any http://static-content.springer.com/image/art%3A10.1155%2F2009%2F563767/MediaObjects/13661_2009_Article_859_IEq15_HTML.gif .

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        Authors’ Affiliations

        (1)
        Department of Mathematics, Hohai University
        (2)
        College of Mathematics and Physics, Nanjing University of Information Science and Technology
        (3)
        Department of Mathematics, Ili Normal University

        Copyright

        © Caisheng Chen et al. 2009

        This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.