Conditions for unique solvability of inverse problems for controllable dynamical systems

1992 ◽  
Vol 44 (10) ◽  
pp. 1245-1252 ◽  
Author(s):  
A. M. Kovalev ◽  
V. F. Shcherbak
Keyword(s):  
Dynamical Systems ◽  
Inverse Problems ◽  
Unique Solvability

Inverse source problem for parabolic equation with the condition of integral observation in time

2018 ◽  
Vol 26 (4) ◽  
pp. 523-539 ◽  
Author(s):  
Aleksey I. Prilepko ◽  
Vitaly L. Kamynin ◽  
Andrew B. Kostin
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation ◽  
Inverse Problems ◽  
Unique Solvability ◽  
Existence And Uniqueness ◽  
Additional Condition ◽  
Sufficient Conditions ◽  
Inverse Source Problem ◽  
Source Determination ◽  
Integral Observation

Abstract We consider the inverse problem of source determination in nonuniformly parabolic equation under the additional condition of integral observation. We investigate the questions of existence and uniqueness of solution. Two types of sufficient conditions for the unique solvability of the inverse problem are obtained. Examples of inverse problems are given for which the conditions of the proved theorems are fulfilled.

Sign in / Sign up

Export Citation Format

Share Document