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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2021 Volume 14, Issue 4, Pages 425–432 (Mi jsfu927)

This article is cited in 3 papers

Boundary value problems for fourth-order Sobolev type equations

Alexander I. Kozhanov

Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

Abstract: The goal of the article is the study of solvability in the Sobolev spaces of boundary value problems for some classes of Sobolev-type fourth-order linear equations. We will prove that an initial boundary value problems well problems with data both at the initial time moment and the final time moments can be well-posed for the equations under study.

Keywords: Sobolev-type fourth-order differential equation, boundary value problem, existence, uniqueness.

UDC: 517.9

Received: 10.03.2021
Received in revised form: 05.04.2021
Accepted: 20.05.2021

Language: English

DOI: 10.17516/1997-1397-2021-14-4-425-432



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