Regional controllability of semilinear degenerate parabolic equations in bounded domains

被引:46
作者
Cannarsa, P.
Fragnelli, G.
Vancostenoble, J.
机构
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[2] Univ Toulouse 3, CNRS, UMR 5640, Lab MIP, F-31062 Toulouse 4, France
关键词
null controllability; semilinear parabolic equations; degenerate equations;
D O I
10.1016/j.jmaa.2005.07.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study controllability properties of semilinear degenerate parabolic equations. Due to degeneracy, classical null controllability results do not hold in general. Thus we investigate results of 'regional null controllability', showing that we can drive the solution to rest at time T on a subset of the space domain, contained in the set where the equation is nondegenerate. (C) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:804 / 818
页数:15
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