ASYMPTOTIC BEHAVIOR FOR DISCRETIZATIONS OF A SEMILINEAR PARABOLIC EQUATION

2015 ◽  
Vol 99 (2) ◽  
pp. 257-278
Author(s):  
Diabate Nabongo ◽  
N’Guessan Koffi ◽  
Toure Kidjegbo Augustin
Keyword(s):  
Asymptotic Behavior ◽  
Parabolic Equation ◽  
Semilinear Parabolic Equation ◽  
Semilinear Parabolic

scholarly journals Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay

2018 ◽  
Vol 56 (6) ◽  
pp. 4434-4460
Author(s):  
Eduardo Casas ◽  
Mariano Mateos ◽  
Fredi Tröltzsch
Keyword(s):  
Parabolic Equation ◽  
Time Delay ◽  
Semilinear Parabolic Equation ◽  
Semilinear Parabolic

scholarly journals The Problem of Determining of the Source Function and of the Leading Coefficient in the Many-dimensional Semilinear Parabolic Equation

2001 ◽  
Vol 14 (4) ◽  
pp. 497-506
Author(s):  
Svetlana V. Polyntseva ◽  
◽  
Kira I. Spirina
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation ◽  
Existence And Uniqueness ◽  
Source Function ◽  
Time Interval ◽  
Semilinear Parabolic Equation ◽  
Existence And Uniqueness Theorem ◽  
Bounded Functions ◽  
The Many ◽  
Semilinear Parabolic

We consider the problem of determining the source function and the leading coefficient in a multidimensional semilinear parabolic equation with overdetermination conditions given on two different hypersurfaces. The existence and uniqueness theorem for the classical solution of the inverse problem in the class of smooth bounded functions is proved. A condition is found for the dependence of the upper bound of the time interval, in which there is a unique solution to the inverse problem, on the input data

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