Standard

On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces. / Bondar, L. N.; Demidenko, G. V.

In: Siberian Mathematical Journal, Vol. 64, No. 5, 09.2023, p. 1076-1090.

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

Harvard

Bondar, LN & Demidenko, GV 2023, 'On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces', Siberian Mathematical Journal, vol. 64, no. 5, pp. 1076-1090. https://doi.org/10.1134/S0037446623050026

APA

Bondar, L. N., & Demidenko, G. V. (2023). On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces. Siberian Mathematical Journal, 64(5), 1076-1090. https://doi.org/10.1134/S0037446623050026

Vancouver

Bondar LN, Demidenko GV. On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces. Siberian Mathematical Journal. 2023 Sept;64(5):1076-1090. doi: 10.1134/S0037446623050026

Author

Bondar, L. N. ; Demidenko, G. V. / On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces. In: Siberian Mathematical Journal. 2023 ; Vol. 64, No. 5. pp. 1076-1090.

BibTeX

@article{d882c170c15140dba6fe05f3915f4310,
title = "On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces",
abstract = "We consider a class of strictly pseudohyperbolic equationsand establish some solvability conditions ofthe Cauchy problem in the class of weighted Sobolev spaces.We also prove the uniqueness of solutions and obtain some estimates.",
keywords = "517.955, energy estimate, equations that are not solved with respect to the higher-order derivative, pseudohyperbolic equations",
author = "Bondar, {L. N.} and Demidenko, {G. V.}",
note = "The research was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0008). Публикация для корректировки.",
year = "2023",
month = sep,
doi = "10.1134/S0037446623050026",
language = "English",
volume = "64",
pages = "1076--1090",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "5",

}

RIS

TY - JOUR

T1 - On Well-Posedness of the Cauchy Problem for Pseudohyperbolic Equations in Weighted Sobolev Spaces

AU - Bondar, L. N.

AU - Demidenko, G. V.

N1 - The research was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0008). Публикация для корректировки.

PY - 2023/9

Y1 - 2023/9

N2 - We consider a class of strictly pseudohyperbolic equationsand establish some solvability conditions ofthe Cauchy problem in the class of weighted Sobolev spaces.We also prove the uniqueness of solutions and obtain some estimates.

AB - We consider a class of strictly pseudohyperbolic equationsand establish some solvability conditions ofthe Cauchy problem in the class of weighted Sobolev spaces.We also prove the uniqueness of solutions and obtain some estimates.

KW - 517.955

KW - energy estimate

KW - equations that are not solved with respect to the higher-order derivative

KW - pseudohyperbolic equations

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85174730523&origin=inward&txGid=40220665bc09c245a2c27e27b262da8c

UR - https://www.mendeley.com/catalogue/1614b9c0-3bfd-3d99-87f8-327f92a19e14/

U2 - 10.1134/S0037446623050026

DO - 10.1134/S0037446623050026

M3 - Article

VL - 64

SP - 1076

EP - 1090

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 59280709