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

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页码：57 / 71

页数：15

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