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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.
Received: 10.02.2021 Received in revised form: 05.03.2021 Accepted: 20.04.2021
Citation:
Anna Sh. Lyubanova, “The regularity of the solutions of inverse problems for the pseudoparabolic equation”, J. Sib. Fed. Univ. Math. Phys., 14:4 (2021), 414–424
Linking options:
https://www.mathnet.ru/eng/jsfu926 https://www.mathnet.ru/eng/jsfu/v14/i4/p414
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