Regional null controllability for degenerate heat equations

被引：7
|
作者：
Cannarsa, P
Martinez, P
Vancostenoble, J
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Univ Toulouse 3, UMR 5640, Lab MIP, F-31062 Toulouse 4, France
来源：
COMPTES RENDUS MECANIQUE | 2002年 / 330卷 / 06期
关键词：
control; null controllability; parabolic equations;
D O I：
10.1016/S1631-0721(02)01475-4
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We are interested in a null controllability problem for a class of strongly degenerate heat equations. First for all T > 0, we prove a regional null controllability result at time T at least in the region where the equation is not degenerate. The proof is based on an adequate observability inequality for the homogeneous adjoint problem. This inequality is obtained by application of Carleman estimates combined with the introduction of cut-off functions. Then we improve this result: for all T' > T, we obtain a result of persistent regional null controllability during the time interval [T, T']. Finally we give similar results for the (non degenerate) heat equation in unbounded domain.
引用
收藏
页码：397 / 401
页数：5
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