CONTROLLABILITY FOR A PARABOLIC EQUATION WITH A NONLINEAR TERM INVOLVING THE STATE AND THE GRADIENT

被引：0

作者：

Xu Youjun ^{[1
]}

Liu Zhenhai ^{[2
]}

机构：

[1] Univ S China, Sch Math & Phys, Hengyang 421001, Peoples R China

[2] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 05期

基金：

中国国家自然科学基金;

关键词：

controllability; Kakutani fixed-point theorem; nonlinear gradient term; SEMILINEAR HEAT-EQUATIONS; APPROXIMATE CONTROLLABILITY; INSENSITIZING CONTROLS; EXISTENCE; SYSTEMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider the controllability of a quasi-linear heat equation involving gradient terms with Dirichlet boundary conditions in a bounded domain of RN. The results are established by using the variational methods, the related duality theory and Kakutani Fixed-point Theorem.

引用

页码：1593 / 1604

页数：12

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