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The asymptotic behavior for anisotropic parabolic p ‐Laplacian equations
Author(s) -
Qian Chenyin,
Yuan Daorui
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900220
Subject(s) - mathematics , compact space , mathematical analysis , limit (mathematics) , anisotropy , laplace operator , galerkin method , attractor , parabolic partial differential equation , function (biology) , pure mathematics , partial differential equation , physics , quantum mechanics , nonlinear system , evolutionary biology , biology
The global existence and asymptotic behavior for anisotropic parabolic equation in R n 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, theL 2 ( R n ) ∩ L r ( R n )global attractor for anisotropic parabolic p ‐Laplacian equation is also investigated by proving the ω‐limit compactness for the multivalued semigroups or multivalued semiflows.