The Stabilization of A Class of Nonlinear Degenerate Parabolic Equation
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摘要:
研究了一类非线性退化抛物方程的指数能稳性: 首先，利用边界提升的方法给出了齐次系统的指数能稳性；然后，借助加权Sobolev空间的嵌入定理和不动点定理得到非线性系统的局部指数能稳性。
Abstract: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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Keywords:
- degenerate parabolic equation /
- stabilization /
- nonlinear term
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