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The asymptotic behavior for anisotropic parabolic p‐Laplacian equations

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  • Chenyin Qian
  • Daorui Yuan

Abstract

The global existence and asymptotic behavior for anisotropic parabolic equation in Rn are considered. By using the classical Galerkin approximation and suitable conditions on the weighted function, it is obtained the global estimate and the uniformly estimates for the global weak solution. Besides, the L2(Rn)∩Lr(Rn) global attractor for anisotropic parabolic p‐Laplacian equation is also investigated by proving the ω‐limit compactness for the multivalued semigroups or multivalued semiflows.

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  • Chenyin Qian & Daorui Yuan, 2020. "The asymptotic behavior for anisotropic parabolic p‐Laplacian equations," Mathematische Nachrichten, Wiley Blackwell, vol. 293(10), pages 1968-1984, October.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:10:p:1968-1984
    DOI: 10.1002/mana.201900220
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    References listed on IDEAS

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    1. João Marcos do Ó & Xiaoming He & Pawan Kumar Mishra, 2019. "Fractional Kirchhoff problem with critical indefinite nonlinearity," Mathematische Nachrichten, Wiley Blackwell, vol. 292(3), pages 615-632, March.
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