Unique solvability of the inverse problem for the heat equation with nonlocal boundary conditions

2007 ◽  
Vol 18 (1) ◽  
pp. 29-41 ◽  
Author(s):  
A. V. Lukshin ◽  
B. I. Reznik
Keyword(s):  
Inverse Problem ◽  
Boundary Conditions ◽  
Heat Equation ◽  
Unique Solvability ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions

scholarly journals INVERSE PROBLEM WITH INTEGRAL IN TIME OVERDETERMINATION AND NONLOCAL BOUNDARY CONDITIONS FOR HYPERBOLIC EQUATION

2017 ◽  
Vol 22 (1-2) ◽  
pp. 27-32
Author(s):  
A. V. Duzheva
Keyword(s):  
Inverse Problem ◽  
Boundary Conditions ◽  
Hyperbolic Equation ◽  
Boundary Problem ◽  
Existence Result ◽  
Nonlocal Boundary ◽  
Initial Boundary ◽  
Nonlocal Boundary Conditions ◽  
Time Variable ◽  
Initial Boundary Problem

In this article, we consider a question of sovability of an inverse problem for a linear hyprbolic equation. Properties of the solution of an associated nonlocal initial-boundary problem with displacement in boundary conditions are used to develop an existence result for the identification of the unknown source. Overdetermination is represented as integral with respect to time-variable.

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