Exact Controllability to Trajectories for a Semilinear Heat Equation with a Superlinear Nonlinearity

被引：4
|
作者：
Xu, Youjun [1 ,2 ]
Liu, Zhenhai [1 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China
[2] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Exact controllability; Kakutani Fixed-point Theorem; Superlinear nonlinearity; APPROXIMATE CONTROLLABILITY; INSENSITIZING CONTROLS; EXISTENCE; GRADIENT; STATE;
D O I：
10.1007/s10440-008-9385-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider exact controllability to trajectories for a semilinear heat equation with nonlinearity that has superlinear growth at infinity with Dirichlet boundary conditions in a bounded domain of a"e (N) . The results are established by using the variational methods, the related duality theory and Kakutani Fixed-point Theorem and generalize the previous results.
引用
收藏
页码：57 / 71
页数：15
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