Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation

被引：7
|
作者：
Fernandez-Cara, Enrique [1 ]
de Sousa, Ivaldo Tributino [2 ]
机构：
[1] Univ Seville, Dept EDAN, Aptdo 1160, E-41080 Seville, Spain
[2] Univ Fed Ceara, Dept Matemat, Fortaleza, CE, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2017年 / 48卷 / 02期
关键词：
Null controllability; Free-boundary problems; 1D semilinear heat equation; Carleman estimates; APPROXIMATE CONTROLLABILITY;
D O I：
10.1007/s00574-016-0001-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at ). In the main result we prove that, if the final time T is fixed and the initial state is sufficiently small, there exists controls that drive the state exactly to rest at time .
引用
收藏
页码：303 / 315
页数：13
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