Semidiscretization For A Doubly Nonlinear Parabolic Equation Related To The P(X)-Laplacian

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS(2019)

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摘要
This paper studies a time discretization for a doubly nonlinear parabolic equation related to the p(x)-Laplacian by using Euler-forward scheme. We investigate existence, uniqueness, and stability questions and prove existence of the global compact attractor.
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