scholarly journals The Stabilization of the Solution of an inverse Problem for the Pseudoparabolic Equation

2021 ◽  
Vol 2092 (1) ◽  
pp. 012009
Author(s):  
A. Sh. Lyubanova ◽  
A. V. Velisevich
Keyword(s):  
Inverse Problem ◽  
Asymptotic Behavior ◽  
Differential Operator ◽  
Strong Solution ◽  
Second Order ◽  
Unknown Coefficient ◽  
Pseudoparabolic Equation

Abstract The asymptotic behavior of the strong solution to the inverse problem on recovering an unknown coefficient k(t) in a pseudoparabolic equation (u + ηMu) t + Mu + k(t)u = f is investigated. The differential operator M of the second order with respect spacial variables is supposed to be elliptic and selfajoint. It is proved that the solution of the inverse problem stabilizes to the solution of the appropriate stationary inverse problem as t → + ∞.

On the inverse problem in quantum scattering theory

2009 ◽  
Vol 28 (S19) ◽  
pp. 457-466
Author(s):  
Erkki Brändas ◽  
Erik Engdahl ◽  
Magnus Rittby ◽  
Nils Elander
Keyword(s):  
Inverse Problem ◽  
Scattering Theory ◽  
Quantum Scattering ◽  
Quantum Scattering Theory
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