The asymptotic behavior for anisotropic parabolic p‐Laplacian equations

Chenyin Qian and Daorui Yuan

Mathematische Nachrichten, 2020, vol. 293, issue 10, 1968-1984

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.

Date: 2020
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