一类非线性退化抛物方程的能稳性  

The Stabilization of A Class of Nonlinear Degenerate Parabolic Equation

作　　者：李玲飞[1] 梁潇月 张晓艺 王岳山 LI Lingfei;LIANG Xiaoyue;ZHANG Xiaoyi;WANG Yueshan(School of Science,Northeast Electric Power University,Jilin 132012,China)

机构地区：[1]东北电力大学理学院,吉林132012

出　　处：《华南师范大学学报（自然科学版）》2024年第2期100-104,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(12001087)。

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。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.

关 键 词：退化抛物方程 能稳性 非线性项 

分 类 号：O29[理学—应用数学]