BOUNDARY VALUE PROBLEMS WITH CONJUGATION CONDITIONS FOR QUASI-PARABOLIC EQUATIONS OF THE THIRD ORDER WITH A DISCONTINUOUS SIGN-VARIABLE COEFFICIENT

BOUNDARY VALUE PROBLEMS WITH CONJUGATION CONDITIONS FOR QUASI-PARABOLIC EQUATIONS OF THE THIRD ORDER WITH A DISCONTINUOUS SIGN-VARIABLE COEFFICIENT Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2021, Volume: 18, Number: 1, Pages: 599-616 Pages count : 18 DOI: 10.33048/semi.2021.18.043

Funding (1)

Sobolev Institute of Mathematics

0314-2019-0010

The aim of this work is to study the solvability in Sobolev spaces of boundary value problems for third order differential equations with a discontinuous sign-variable coefficient at the highest derivative with respect to the time variable. Since the equation has a discontinuous leading coefficient, in addition to setting the boundary conditions it is also necessary to set some conjugation conditions. For the problems under study, existence and uniqueness theorems are proved for the class of regular solutions, i.e., for the solutions that have all Sobolev weak derivatives up to the third order in time variable and up to the second order in spatial variables. © 2021 Kozhanov A.I., Shadrina N.N. All Rights Reserved.

Kozhanov A.I. , Shadrina N.N.
BOUNDARY VALUE PROBLEMS WITH CONJUGATION CONDITIONS FOR QUASI-PARABOLIC EQUATIONS OF THE THIRD ORDER WITH A DISCONTINUOUS SIGN-VARIABLE COEFFICIENT
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N1. P.599-616. DOI: 10.33048/semi.2021.18.043 WOS Scopus OpenAlex

Web of science:	WOS:000674354000001
Scopus:	2-s2.0-85108828968
OpenAlex:	W3201059311

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