scholarly journals Input-to-state stability for parabolic boundary control:linear and semilinear systems

2020 ◽  
pp. 83-116
Author(s):  
Felix L. Schwenninger
Keyword(s):  
Semilinear Systems ◽  
Parabolic Boundary

scholarly journals An output stabilization of second order semilinear systems

2020 ◽  
Vol 53 (2) ◽  
pp. 5889-5894
Author(s):  
Lahcen Ezzaki ◽  
El Hassan Zerrik
Keyword(s):  
Second Order ◽  
Semilinear Systems ◽  
Output Stabilization

scholarly journals Uniqueness and stability of solutions for a type of parabolic boundary value problem

1989 ◽  
Vol 12 (4) ◽  
pp. 735-739
Author(s):  
Enrique A. Gonzalez-Velasco
Keyword(s):  
Parabolic Equation ◽  
Boundary Value Problem ◽  
Nonnegative Solution ◽  
Boundary Value ◽  
Stability Of Solutions ◽  
General Boundary Conditions ◽  
Boundary Values ◽  
Parabolic Boundary ◽  
One Dimensional ◽  
The One

We consider a boundary value problem consisting of the one-dimensional parabolic equationgut=(hux)x+q, where g, h and q are functions of x, subject to some general boundary conditions. By developing a maximum principle for the boundary value problem, rather than the equation, we prove the uniqueness of a nonnegative solution that depends continuously on boundary values.

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