Journal of Siberian Federal University. Mathematics & Physics / The Regularity of the Solutions of Inverse Problems for the Pseudoparabolic Equation

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (4)
Authors
Lyubanova, Anna Sh.
Contact information
Lyubanova, Anna Sh.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
continuous dependence on the input data; a priori estimate; inverse problem; pseudoparabolic equation
Abstract

The paper discusses the regularity of the solutions to the inverse problems on finding unknown coefficients dependent on t in the pseudoparabolic equation of the third order with an additional information on the boundary. By the regularity is meant the continuous dependence of the solution on the input data of the inverse problem. The regularity of the solution is proved for two inverse problems of recovering the unknown coefficient in the second order term and the leader term of the linear pseudoparabolic equation

Pages
414–424
DOI
10.17516/1997-1397-2021-14-4-414-424
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/141729