Linear Inverse Problem for 3-Dimensional Chaplygin Equation with Semi–Nonlocal Boundary Conditions in a Prismatic Unbounded Domain

Linear Inverse Problem for 3-Dimensional Chaplygin Equation with Semi–Nonlocal Boundary Conditions in a Prismatic Unbounded Domain Full article

Journal

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Output data

Year: 2023, Volume: 274, Number: 2, Pages: 186-200 Pages count : 15 DOI: 10.1007/s10958-023-06588-7

Authors

Dzhamalov S.Z. ^1,2 , Ashurov Ravshan ^1,2 , Kozhanov A.I. ³

Affiliations

1	Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
2	Central Asian University, Tashkent, Uzbekistan
3	Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0008

The paper addresses the issues of well-posedness of the linear inverse problem for the three-dimensional Chaplygin equation in a prismatic unbounded domain with semi-local boundary conditions. Using ε-regularization methods, a priori estimates, and a sequence of approximations with application of the Fourier transform, we establish the existence and uniqueness of a generalized solution to the problem in some class of integrable functions

Dzhamalov S.Z. , Ashurov R. , Kozhanov A.I.
Linear Inverse Problem for 3-Dimensional Chaplygin Equation with Semi–Nonlocal Boundary Conditions in a Prismatic Unbounded Domain
Journal of Mathematical Sciences (United States). 2023. V.274. N2. P.186-200. DOI: 10.1007/s10958-023-06588-7 Scopus РИНЦ OpenAlex

Submitted:	Jun 30, 2023
Published print:	Aug 16, 2023
Published online:	Aug 16, 2023

Scopus:	2-s2.0-85168133254
Elibrary:	62452101
OpenAlex:	W4385875884

DB	Citing
Scopus	2
Elibrary	2