scholarly journals Finite dimensional null controllability for the semilinear heat equation

1997 ◽  
Vol 76 (3) ◽  
pp. 237-264 ◽  
Author(s):  
Enrique Zuazua
Keyword(s):  
Heat Equation ◽  
Null Controllability ◽  
Semilinear Heat Equation ◽  
Finite Dimensional

scholarly journals Null controllability for the semilinear heat equation in a non-smooth domain

2015 ◽  
Vol 353 (3) ◽  
pp. 229-234
Author(s):  
Tarik Ali-Ziane ◽  
Zahia Ferhoune ◽  
Ouahiba Zair
Keyword(s):  
Heat Equation ◽  
Null Controllability ◽  
Smooth Domain ◽  
Semilinear Heat Equation

scholarly journals NULL CONTROLLABILITY FOR THE SEMILINEAR HEAT EQUATION IN UNBOUNDED DOMAINS

Pesquimat ◽  
2014 ◽  
Vol 4 (2) ◽  
Author(s):  
Silvano Dias Bezerra de Menezes ◽  
Eugenio Cabanillas Lapa
Keyword(s):  
Heat Equation ◽  
Unbounded Domains ◽  
Null Controllability ◽  
Semilinear Heat Equation

scholarly journals Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions

2021 ◽  
Vol 26 (6) ◽  
pp. 1106-1122
Author(s):  
Ionuţ Munteanu
Keyword(s):  
Heat Equation ◽  
Closed Loop ◽  
Initial Conditions ◽  
Dimensional Structure ◽  
One Dimensional ◽  
Loop Equation ◽  
Nonlocal Initial Conditions ◽  
Semilinear Heat Equation ◽  
Finite Dimensional ◽  
The One

The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation. It is linear, of finite-dimensional structure, given in an explicit form. It allows to write the corresponding solution of the closed-loop equation in a mild formulation via a kernel, then to apply a fixed point argument in a convenient space.

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