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On a Boundary Value Problem in a Cylinder for a Sixth-Order Pseudohyperbolic Equation. / Bondar, L. n.; Ma, X.

In: Siberian Advances in Mathematics, Vol. 34, No. 4, 14.01.2025, p. 280-293.

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

Harvard

Bondar, LN & Ma, X 2025, 'On a Boundary Value Problem in a Cylinder for a Sixth-Order Pseudohyperbolic Equation', Siberian Advances in Mathematics, vol. 34, no. 4, pp. 280-293. https://doi.org/10.1134/S1055134424040047

APA

Bondar, L. N., & Ma, X. (2025). On a Boundary Value Problem in a Cylinder for a Sixth-Order Pseudohyperbolic Equation. Siberian Advances in Mathematics, 34(4), 280-293. https://doi.org/10.1134/S1055134424040047

Vancouver

Bondar LN, Ma X. On a Boundary Value Problem in a Cylinder for a Sixth-Order Pseudohyperbolic Equation. Siberian Advances in Mathematics. 2025 Jan 14;34(4):280-293. doi: 10.1134/S1055134424040047

Author

Bondar, L. n. ; Ma, X. / On a Boundary Value Problem in a Cylinder for a Sixth-Order Pseudohyperbolic Equation. In: Siberian Advances in Mathematics. 2025 ; Vol. 34, No. 4. pp. 280-293.

BibTeX

@article{7124b6d41d3c4e668dc5f0aa594c7dbe,
title = "On a Boundary Value Problem in a Cylinder for a Sixth-Order Pseudohyperbolic Equation",
abstract = "In the present article, we consider the first boundary value problem in a cylinder for a certain sixth-order equation that is not resolved with respect to the highest-order derivative. This is a strictly pseudohyperbolic equation with lower terms. We prove that there exists a unique generalized solution of the boundary value problem in an anisotropic Sobolev space and obtain estimates of this solution.",
author = "Bondar, {L. n.} and X. Ma",
note = "The work of the first author was supported by the Russian Scientific Foundation (project 24-21-00370).",
year = "2025",
month = jan,
day = "14",
doi = "10.1134/S1055134424040047",
language = "English",
volume = "34",
pages = "280--293",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "4",

}

RIS

TY - JOUR

T1 - On a Boundary Value Problem in a Cylinder for a Sixth-Order Pseudohyperbolic Equation

AU - Bondar, L. n.

AU - Ma, X.

N1 - The work of the first author was supported by the Russian Scientific Foundation (project 24-21-00370).

PY - 2025/1/14

Y1 - 2025/1/14

N2 - In the present article, we consider the first boundary value problem in a cylinder for a certain sixth-order equation that is not resolved with respect to the highest-order derivative. This is a strictly pseudohyperbolic equation with lower terms. We prove that there exists a unique generalized solution of the boundary value problem in an anisotropic Sobolev space and obtain estimates of this solution.

AB - In the present article, we consider the first boundary value problem in a cylinder for a certain sixth-order equation that is not resolved with respect to the highest-order derivative. This is a strictly pseudohyperbolic equation with lower terms. We prove that there exists a unique generalized solution of the boundary value problem in an anisotropic Sobolev space and obtain estimates of this solution.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85217371681&origin=inward&txGid=88998372fa39815f1bc1119d236e85ac

U2 - 10.1134/S1055134424040047

DO - 10.1134/S1055134424040047

M3 - Article

VL - 34

SP - 280

EP - 293

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 4

ER -

ID: 64718234