• Title/Summary/Keyword: Quasilinear degenerate parabolic equation

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GLOBAL ATTRACTOR FOR A CLASS OF QUASILINEAR DEGENERATE PARABOLIC EQUATIONS WITH NONLINEARITY OF ARBITRARY ORDER

  • Tran, Thi Quynh Chi;Le, Thi Thuy;Nguyen, Xuan Tu
    • Communications of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.447-463
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    • 2021
  • In this paper we study the existence and long-time behavior of weak solutions to a class of quasilinear degenerate parabolic equations involving weighted p-Laplacian operators with a new class of nonlinearities. First, we prove the existence and uniqueness of weak solutions by combining the compactness and monotone methods and the weak convergence techniques in Orlicz spaces. Then, we prove the existence of global attractors by using the asymptotic a priori estimates method.