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Пространственно-нелокальные краевые задачи с обобщенным условием Самарского--Ионкина для квазипараболических уравнений Full article

Journal Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Output data Year: 2023, Volume: 20, Number: 1, Pages: 110-123 Pages count : 14 DOI: 10.33048/semi.2023.20.010
Tags quasi-parabolic equations, non-local boundary value problems, generalized Samarskii Ionkin condition, regular solutions, existence, uniqueness
Authors Кожанов А.И. 1,2 , Абдрахманов А.М. 3
Affiliations
1 Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
2 Novosibirsk State University, Pirogova st., 1, 630090, Novosibirsk, Russia
3 Ufa State Technical University, Department of Artificial Intelligence and Advanced Mathematical Research, st. Karl Marx, 12, 450077, Ufa, Russia

Funding (1)

1 Mathematical Center in Akademgorodok 075-15-2019-1675

Abstract: The work is devoted to the study of the solvability of boundary value problems for quasi-parabolic equations ( 1)pD2p+1 t u x (a(x)ux) +c(xt)u = f(xt) k ((xt) (01) (0T) a(x)>0 Dk t = with boundary conditions of one of the types u(0 t) tk p >0 integer) u(1 t) = 0 ux(1 t)=0 t (0T) or ux(0 t) ux(1 t) = 0 u(1 t)=0 t (0T) The problems under study can be treated as nonlocal problems with the generalized Samarskii Ionkin condition in terms of spatial variable, for them we prove existence and uniqueness theorems for regular solutions namely, solutions that have all generalized in the sense of S.L. Sobolev derivatives included in the corresponding equation.
Cite: Кожанов А.И. , Абдрахманов А.М.
Пространственно-нелокальные краевые задачи с обобщенным условием Самарского--Ионкина для квазипараболических уравнений
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. Т.20. №1. С.110-123. DOI: 10.33048/semi.2023.20.010 WOS РИНЦ
Dates:
Submitted: Sep 3, 2022
Published print: Mar 17, 2023
Published online: Mar 17, 2023
Identifiers:
Web of science: WOS:000959070400004
Elibrary: 54768282
Citing:
DB Citing
Web of science 1
Elibrary 6
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