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LI Lingfei, LIANG Xiaoyue, ZHANG Xiaoyi, WANG Yueshan. The Stabilization of A Class of Nonlinear Degenerate Parabolic EquationJ. Journal of South China Normal University (Natural Science Edition), 2024, 56(2): 100-104. DOI: 10.6054/j.jscnun.2024027
Citation: LI Lingfei, LIANG Xiaoyue, ZHANG Xiaoyi, WANG Yueshan. The Stabilization of A Class of Nonlinear Degenerate Parabolic EquationJ. Journal of South China Normal University (Natural Science Edition), 2024, 56(2): 100-104. DOI: 10.6054/j.jscnun.2024027
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The Stabilization of A Class of Nonlinear Degenerate Parabolic Equation

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  • The exponential stabilization of a class of nonlinear degenerate parabolic equation is investigated in this paper. The stabilization of the homogenous system is obtained by the method of lifting the boundary to the equation. Based on the imbedding theorems for the weighted Sobolev space, the exponential stabilization of the nonlinear system is established via the fixed point theorem.
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