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.

引用

页数：14

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