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Local Null Controllability of Semilinear Parabolic Equation

Author: ZhangWenTao
Tutor: LeiPeiDong
School: Northeast Normal University
Course: Operational Research and Cybernetics
Keywords: Local null controllability Kakutani’s fixed Point theorem semilinear parabolic equation Observability inequality
CLC: O175.26
Type: Master's thesis
Year: 2011
Downloads: 17
Quote: 0
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Abstract


In this paper, we discusse the local null controllability of semilinear parabolic equation. Firstly.we introduce the controllability research results of semilinear parabolic equation.More-over, by easing the nonlinear term growth restrictions, we obtain the local null controllability of semilinear parabolic equation.Secondly, we obtain the null controllability of the semilin-ear parabolic system with bounded constraints,and finally we proof the existence of the time optimal control.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Parabolic equation
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