Acta mathematica scientia, Series B >
CONTROLLABILITY FOR A PARABOLIC EQUATION WITH A NONLINEAR TERM INVOLVING THE STATE AND THE GRADIENT
Received date: 2008-03-19
Revised date: 2009-01-15
Online published: 2010-09-20
Supported by
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).
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.
XU You-Jun , LIU Zhen-Hai . CONTROLLABILITY FOR A PARABOLIC EQUATION WITH A NONLINEAR TERM INVOLVING THE STATE AND THE GRADIENT[J]. Acta mathematica scientia, Series B, 2010 , 30(5) : 1593 -1604 . DOI: 10.1016/S0252-9602(10)60152-X
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