On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator

被引：1
|
作者：
Chernov, A. V. [1 ]
机构：
[1] Lobachevsky State Univ Nizhny Novgorod, Nizhnii Novgorod 603950, Russia
来源：
DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 02期
关键词：
INTERNAL CONTROLLABILITY; SYSTEMS; SPACES;
D O I：
10.1134/S0012266123020106
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For the Cauchy problem associated with a controlled semilinear evolution equation withan unbounded maximal monotone operator in a Hilbert space, sufficient conditions are obtainedfor exact controllability to a given final state. Here a generalization of the Browder-Mintytheorem and results on the total global solvability of this equation obtained by the author earlierare used. As an example, a semilinear wave equation is considered.
引用
收藏
页码：265 / 277
页数：13
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