Null controllability of a semilinear degenerate parabolic equation with a gradient term

被引：2
|
作者：
Xu, Fengdan [1 ]
Zhou, Qian [1 ]
Nie, Yuanyuan [1 ]
机构：
[1] Jilin Univ, Sch Math, Changchun, Jilin, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期
关键词：
Null controllability; The semilinear problem; Degenerate parabolic equation; APPROXIMATE CONTROLLABILITY; SYSTEM;
D O I：
10.1186/s13661-020-01351-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns the null controllability of a semilinear control system governed by degenerate parabolic equation with a gradient term, where the nonlinearity of the problem is involved with the first derivative. We first establish the well-posedness and prove the approximate null controllability of the linearized system, then we can get the approximate null controllability of the semilinear control system by a fixed point argument. Finally, the semilinear control system with a gradient term is shown to be null controllable.
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收藏
页数：14
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