Regularity and Finite Dimensionality of Attractor for Plate Equation on <em>R</em><sup>n</sup>

XIAO Hai-bin

doi:10.3879/j.issn.1000-0887.2010.11.010

Volume 31 Issue 11

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XIAO Hai-bin. Regularity and Finite Dimensionality of Attractor for Plate Equation on Rn[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1372-1381. doi: 10.3879/j.issn.1000-0887.2010.11.010

Citation:

XIAO Hai-bin. Regularity and Finite Dimensionality of Attractor for Plate Equation on Rⁿ[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1372-1381. doi: 10.3879/j.issn.1000-0887.2010.11.010

XIAO Hai-bin. Regularity and Finite Dimensionality of Attractor for Plate Equation on Rn[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1372-1381. doi: 10.3879/j.issn.1000-0887.2010.11.010

Citation:

XIAO Hai-bin. Regularity and Finite Dimensionality of Attractor for Plate Equation on Rⁿ[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1372-1381. doi: 10.3879/j.issn.1000-0887.2010.11.010

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Regularity and Finite Dimensionality of Attractor for Plate Equation on Rⁿ

doi: 10.3879/j.issn.1000-0887.2010.11.010

XIAO Hai-bin^1,2

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

Received Date: 1900-01-01
Rev Recd Date: 2010-09-25
Publish Date: 2010-11-15

Abstract

Abstract

Regularity and finite dimensionality of global attractor for plate equation on unbounded domain Rⁿ were studied. Existence of the attractor inphase space H²(Rⁿ)×L² (Rⁿ) was established in the author's earlier paper. It is showed that the attractor is actually a bounded set of H⁴ (Rⁿ)×H²(Rⁿ) and has finite fractal dimensionality.
- global attractor,
- Plate equation,
- regularity,
- finite dimensionality,
- unbounded domain

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References(10)

References

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