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Long-time behavior of solutions to a quasilinear parabolic equation

Chia sẻ: Quỳnh Lan Lan | Ngày: | Loại File: PDF | Số trang:15

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Long-time behavior of solutions to a quasilinear parabolic equation

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In this paper, we study the first initial boundary value problem for a class of quasilinear degenerate parabolic equations involving weighted p-Laplacian operators. The existence and uniqueness of a weak solution with respect to initial values is ensured by an application of the Faedo - Galerkin approximation and compact method. Moreover, the longtime behavior of solutions to that problem is considered via the concept of global attractors in various bi-spaces.

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Nội dung Text: Long-time behavior of solutions to a quasilinear parabolic equation

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