The regularity of the solutions of inverse problems for the pseudoparabolic equation

Anna Sh. Lyubanova

Siberian Federal University, Krasnoyarsk, Russian Federation

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.

Keywords: continuous dependence on the input data, a priori estimate, inverse problem, pseudoparabolic equation.

UDC: 517.95

Received: 10.02.2021
Received in revised form: 05.03.2021
Accepted: 20.04.2021

Language: English

DOI: 10.17516/1997-1397-2021-14-4-414-424

Bibliographic databases:

•