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On a Boundary Value Problem for a Pseudohyperbolic Equation. / Shemetova, V. V.

In: Siberian Advances in Mathematics, Vol. 33, No. 3, 08.2023, p. 242-252.

Research output: Contribution to journal › Article › peer-review

Harvard

Shemetova, VV 2023, 'On a Boundary Value Problem for a Pseudohyperbolic Equation', Siberian Advances in Mathematics, vol. 33, no. 3, pp. 242-252. https://doi.org/10.1134/S1055134423030082

APA

Shemetova, V. V. (2023). On a Boundary Value Problem for a Pseudohyperbolic Equation. Siberian Advances in Mathematics, 33(3), 242-252. https://doi.org/10.1134/S1055134423030082

Vancouver

Shemetova VV. On a Boundary Value Problem for a Pseudohyperbolic Equation. Siberian Advances in Mathematics. 2023 Aug;33(3):242-252. doi: 10.1134/S1055134423030082

Author

Shemetova, V. V. / On a Boundary Value Problem for a Pseudohyperbolic Equation. In: Siberian Advances in Mathematics. 2023 ; Vol. 33, No. 3. pp. 242-252.

BibTeX

@article{ee642550aaa74251916d68acec97827c,
title = "On a Boundary Value Problem for a Pseudohyperbolic Equation",
abstract = "In the present article, we consider a mixed boundary value problem in a quarter-space fora pseudohyperbolic equation. We find conditions on the right-hand side of the equation thatguarantee existence of solutions of this problem in Sobolev spaces with exponential weight.",
keywords = "anisotropic Sobolev space, mixed boundary value problem, pseudohyperbolic equation",
author = "Shemetova, {V. V.}",
note = "The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project No. FWNF-2022-0008). Публикация для корректировки.",
year = "2023",
month = aug,
doi = "10.1134/S1055134423030082",
language = "English",
volume = "33",
pages = "242--252",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "3",

}

RIS

TY - JOUR

T1 - On a Boundary Value Problem for a Pseudohyperbolic Equation

AU - Shemetova, V. V.

N1 - The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project No. FWNF-2022-0008). Публикация для корректировки.

PY - 2023/8

Y1 - 2023/8

N2 - In the present article, we consider a mixed boundary value problem in a quarter-space fora pseudohyperbolic equation. We find conditions on the right-hand side of the equation thatguarantee existence of solutions of this problem in Sobolev spaces with exponential weight.

AB - In the present article, we consider a mixed boundary value problem in a quarter-space fora pseudohyperbolic equation. We find conditions on the right-hand side of the equation thatguarantee existence of solutions of this problem in Sobolev spaces with exponential weight.

KW - anisotropic Sobolev space

KW - mixed boundary value problem

KW - pseudohyperbolic equation

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85169662322&origin=inward&txGid=1d1b61ba537d6fef4f8449a86bd94441

UR - https://www.mendeley.com/catalogue/7c11f750-9b44-3f58-9d70-f599c22e348d/

U2 - 10.1134/S1055134423030082

DO - 10.1134/S1055134423030082

M3 - Article

VL - 33

SP - 242

EP - 252

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 3

ER -

ID: 59563875