Open AccessThe Stabilization of the Solution of an inverse Problem for the Pseudoparabolic Equation
Author(s) -
Anna Sh. Lyubanova,
A. V. Velisevich
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2092/1/012009
Subject(s) - mathematics , inverse problem , inverse , mathematical analysis , operator (biology) , order (exchange) , differential operator , chemistry , geometry , biochemistry , finance , repressor , transcription factor , economics , gene
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 → + ∞.