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Controllability for a parabolic equation with a nonlinear term involving the state and the gradient

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成果类型:
期刊论文
作者:
Youjun Xu;Jing Li;Zhenhai Liu
通讯作者:
Xu, Y.(xuyoujun7618@yahoo.com.cn)
作者机构:
[Youjun Xu; Jing Li; Zhenhai Liu] School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, China
[Youjun Xu] School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China
通讯机构:
[Youjun Xu] S
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, People’s Republic of China<&wdkj&>School of Mathematics and Physics, University of South China, Hengyang, People’s Republic of China
语种:
英文
关键词:
Controllability;Parabolic equation;Nonlinear gradient term
期刊:
Journal of Applied Mathematics and Computing
ISSN:
1598-5865
年:
2009
卷:
29
期:
1-2
页码:
197-206
机构署名:
本校为通讯机构
院系归属:
数理学院
摘要:
In this paper, we prove the controllability of a quasi-linear heat equation involving gradient terms with Fourier boundary conditions in a bounded domain ofℝ N . The proofs of the main results in this paper involve such inequalities and rely on the study of these linear problems and appropriate fixed point arg...

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