• DocumentCode
    175605
  • Title

    On pullback attractors in H2 for non-autonomous reaction-diffusion equations

  • Author

    Hongyan Li ; Weisi Zhang

  • Author_Institution
    Coll. of Manage., Shanghai Univ. of Eng. Sci., Shanghai, China
  • fYear
    2014
  • fDate
    May 31 2014-June 2 2014
  • Firstpage
    693
  • Lastpage
    696
  • Abstract
    In this paper we consider H2-regularity of pullback attractors for the reaction-diffusion equation. Firstly, we show that under the suitable conditions, every family of bounded subsets of L2(Ω) which is invariant for the process U, is in fact bounded in H2(Ω). Then, as a consequence, we obtain that the system has a unique continuous periodic solution which attracts any bounded set exponentially.
  • Keywords
    reaction-diffusion systems; bounded subsets; nonautonomous reaction-diffusion equations; periodic solution; pullback attractors; Agricultural machinery; Educational institutions; Eigenvalues and eigenfunctions; Electronic mail; Equations; Force; Laplace equations; Reaction-diffusion equations; periodic solution; pullback attractor;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference (2014 CCDC), The 26th Chinese
  • Conference_Location
    Changsha
  • Print_ISBN
    978-1-4799-3707-3
  • Type

    conf

  • DOI
    10.1109/CCDC.2014.6852254
  • Filename
    6852254
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=175605