Some results about the approximate controllability property for quasilinear diffusion equations

1997 ◽  
Vol 324 (11) ◽  
pp. 1243-1248 ◽  
Author(s):  
Jesús Ildefonso Díaz ◽  
Ángel Manuel Ramos
Keyword(s):  
Approximate Controllability ◽  
Diffusion Equations ◽  
Quasilinear Diffusion ◽  
Controllability Property

scholarly journals Boundary Controllability of a Pseudoparabolic Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Qiang Tao ◽  
Hang Gao ◽  
Zheng-an Yao
Keyword(s):  
Explicit Solution ◽  
Approximate Controllability ◽  
Null Controllability ◽  
Pseudoparabolic Equation ◽  
Controllability Problem ◽  
Boundary Controllability ◽  
Boundary Controls ◽  
Controllability Property

We deal with the controllability problem for the pseudoparabolic equation by means of boundary controls. Due to the unusual spectrum of this kind of equations, we prove that the null controllability property is false. Furthermore, by the explicit solution, we show that the approximate controllability holds.

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