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Regularity and finite dimensionality of attractor for plate equation on Rn

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Abstract

This paper addresses the regularity and finite dimensionality of the global attractor for the plate equation on the unbounded domain. The existence of the attractor in the phase space has been established in an earlier work of the author. It is shown that the attractor is actually a bounded set of the phase space and has finite fractal dimensionality.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ningbo University, Ningbo, 315211, Zhejiang Province, P. R. China

    Hai-bin Xiao  (肖海滨)

  2. Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China

    Hai-bin Xiao  (肖海滨)

Authors
  1. Hai-bin Xiao  (肖海滨)
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Corresponding author

Correspondence to Hai-bin Xiao  (肖海滨).

Additional information

Communicated by Ji-bin LI

Project Supported by the Scientific Research Fund of Zhejiang Provincial Education Department (No. Y200804289), the Natural Science Foundation of Ningbo City (No. 2010A610102), and the K. C. Wong Magna Fund in Ningbo University

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Xiao, Hb. Regularity and finite dimensionality of attractor for plate equation on Rn . Appl. Math. Mech.-Engl. Ed. 31, 1453–1462 (2010). https://doi.org/10.1007/s10483-010-1375-9

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  • DOI: https://doi.org/10.1007/s10483-010-1375-9

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