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Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains

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成果类型:
期刊论文
作者:
Xu, Youjun*;Zhang, Xinguang;Liu, Dongyuan
通讯作者:
Xu, Youjun
作者机构:
[Xu, Youjun; Liu, Dongyuan] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Zhang, Xinguang] Yantai Univ, Dept Math & Informat Sci, Yantai 264005, Shandong, Peoples R China.
通讯机构:
[Xu, Youjun] U
Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Fixed point argument;Gradient terms;Insensitizing control;Insensitizing controls;Linear problems;Nonlinear gradient term;Nonlinear parabolic equations;Nonlinear terms;Semilinear heat equation;Unbounded domain;Unbounded domains;Controllability;Navier Stokes equations;Nonlinear equations
期刊:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN:
0362-546X
年:
2009
卷:
71
期:
11
页码:
5885-5894
基金类别:
National Natural Science Foundation of China [10671211]; Scientific Research Fund of Hunan Provincial Educational Department [06B080]
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 paper, we consider the existence of insensitizing control for a semilinear heat equation involving gradient terms in unbounded domain Ω. In this case, we prove the existence of controls insensitizing the L2-norm of the observation of the solution in an open subset of the domain. The proofs of the main results in this paper involve such inequalities and rely on the study of these linear proble...

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