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Pullback Attractor for Non-autonomous P-Laplacian Equation in Unbounded Domain

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Nonlinear Mathematics for Uncertainty and its Applications

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 100))

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Abstract

By applying extended asymptotic a priori estimate method, we are concerned with the existence of (L 2(ℝn), L p(ℝn))–pullback attractor for non-autonomous p-Laplacian equation defined in ℝn, where the external force g(t, x) satisfies only a certain integrability condition.

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References

  1. Babin, A.V., Vishik, M.I.: Attractors of Evolution Equations. North-Holland, Amsterdam (1992)

    MATH  Google Scholar 

  2. Carcalho, A.N., Gentile, C.B.: Asymptotic behaviour of nonlinear parabolic equations with monotone principal part. J. Math. Anal. Appl. 280, 252–272 (2003)

    Article  MathSciNet  Google Scholar 

  3. Chen, G., Liu, Z.: Pullback attractor for non-autonomous p-Laplacian equation in unbounded domain. Journal of XinYang Normal University (national science edition) 24, 162–166 (2011)

    Google Scholar 

  4. Chen, G., Zhong, C.: Uniform attractor for non-autonomous p-Laplacian equation. Nonlinear Anal. 68, 3349–3363 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Khanmanedov, A.K.: Existence of a global attractor for the degenerate parabolic equation with p-Laplacian principal part in unbounded domain. J. Math. Anal. Appl. 316, 601–615 (2006)

    Article  MathSciNet  Google Scholar 

  6. Wang, Y: On the existence of pullback attractors for non-autonomous infinite dimensional dynamical systems. Doctoral dissertation, Collected in library of Lanzhou University, http://218.196.244.89:8088/D/Thesis_Y1332668.aspx

  7. Yang, M., Sun, C., Zhong, C.: Existence of a global attractor for a p-Laplacian equation in ℝn.. Nonlinear Anal. 66, 1–13 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  8. Yang, M., Sun, C., Zhong, C.: Global attractor for \(\emph{p}\)-Laplacian equation. J. Math. Anal. Appl. 327, 1130–1142 (2007)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, 454003, People’s Republic of China

    Guangxia Chen

Authors
  1. Guangxia Chen
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Editor information

Editors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, 100124, Chaoyang District, Beijing, P.R. China

    Shoumei Li , Xia Wang  & Li Guan ,  & 

  2. Department of Systems Design and Informatics, Kyushu Institute of Technology, 680-4, Kawazu, 820-8502, lizuka, Japan

    Yoshiaki Okazaki

  3. Department of Mathematics, Shinshu University, 4-17-1 Wakasato, 380-8553, Nagano, Japan

    Jun Kawabe

  4. Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259-G3-47, Nagatsuta, Midori-ku, 226-8502, Yokohama, Japan

    Toshiaki Murofushi

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© 2011 Springer-Verlag Berlin Heidelberg

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Chen, G. (2011). Pullback Attractor for Non-autonomous P-Laplacian Equation in Unbounded Domain. In: Li, S., Wang, X., Okazaki, Y., Kawabe, J., Murofushi, T., Guan, L. (eds) Nonlinear Mathematics for Uncertainty and its Applications. Advances in Intelligent and Soft Computing, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22833-9_57

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  • DOI: https://doi.org/10.1007/978-3-642-22833-9_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22832-2

  • Online ISBN: 978-3-642-22833-9

  • eBook Packages: EngineeringEngineering (R0)

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