scholarly journals VARIATIONAL FORMULATION OF AN INVERSE PROBLEM FOR A PARABOLIC EQUATION WITH INTEGRAL CONDITIONS

2020 ◽  
Vol 12 (3) ◽  
pp. 34-40
Author(s):  
R.K. Tagiev ◽  
◽  
Sh.I. Maharramli ◽  
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation ◽  
Variational Formulation ◽  
Integral Conditions

An inverse problem for a parabolic equation with involution

2021 ◽  
Author(s):  
Batirkhan Turmetov ◽  
Bahtiyor Kadirkulov
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation

Inverse problem for a parabolic equation with strong power degeneration

2006 ◽  
Vol 58 (11) ◽  
pp. 1685-1703 ◽  
Author(s):  
M. I. Ivanchov ◽  
N. V. Saldina
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation

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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