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

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成果类型:
期刊论文
作者:
Xu Youjun*;Liu Zhenhai
通讯作者:
Xu Youjun
作者机构:
[Xu Youjun] Univ S China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Liu Zhenhai] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China.
通讯机构:
[Xu Youjun] U
Univ S China, Sch Math & Phys, Hengyang 421001, Peoples R China.
语种:
英文
关键词:
controllability;Kakutani fixed-point theorem;nonlinear gradient term
关键词(中文):
梯度方程;可控性;DIRICHLET边界条件;KAKUTANI不动点定理;非线性;抛物;变分方法;对偶理论
期刊:
数学物理学报(英文版)
ISSN:
0252-9602
年:
2010
卷:
30
期:
5
页码:
1593-1604
基金类别:
∗Received May 19, 2008. revised January 15, 2009. The authors were supported financially by the National Natural Science Foundation of China (10971019), The author (Y. Xu) was supported financially by the Scientific Research Fund of Hunan Provincial Educational Department (09C852).
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
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. © 2010 Wuh...

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