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Energy Estimates for One Class of Pseudohyperbolic Operators with Variable Coefficients. / Demidenko, G. V.

In: Computational Mathematics and Mathematical Physics, Vol. 64, No. 8, 26.09.2024, p. 1755-1764.

Research output: Contribution to journalArticlepeer-review

Harvard

Demidenko, GV 2024, 'Energy Estimates for One Class of Pseudohyperbolic Operators with Variable Coefficients', Computational Mathematics and Mathematical Physics, vol. 64, no. 8, pp. 1755-1764. https://doi.org/10.1134/S0965542524700805

APA

Vancouver

Demidenko GV. Energy Estimates for One Class of Pseudohyperbolic Operators with Variable Coefficients. Computational Mathematics and Mathematical Physics. 2024 Sept 26;64(8):1755-1764. doi: 10.1134/S0965542524700805

Author

Demidenko, G. V. / Energy Estimates for One Class of Pseudohyperbolic Operators with Variable Coefficients. In: Computational Mathematics and Mathematical Physics. 2024 ; Vol. 64, No. 8. pp. 1755-1764.

BibTeX

@article{4571cdb277934590ab4cc36cbd0d0cce,
title = "Energy Estimates for One Class of Pseudohyperbolic Operators with Variable Coefficients",
abstract = "A class of fourth-order strictly pseudohyperbolic operators with variable coefficients is considered. Energy estimates are established under certain conditions on the coefficients. These estimates imply the uniqueness of the solution to the Cauchy problem and a priori estimates.",
keywords = "energy estimates, equations unsolved with respect to the highest order derivative, pseudohyperbolic operators, weighted Sobolev spaces",
author = "Demidenko, {G. V.}",
year = "2024",
month = sep,
day = "26",
doi = "10.1134/S0965542524700805",
language = "English",
volume = "64",
pages = "1755--1764",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "PLEIADES PUBLISHING INC",
number = "8",

}

RIS

TY - JOUR

T1 - Energy Estimates for One Class of Pseudohyperbolic Operators with Variable Coefficients

AU - Demidenko, G. V.

PY - 2024/9/26

Y1 - 2024/9/26

N2 - A class of fourth-order strictly pseudohyperbolic operators with variable coefficients is considered. Energy estimates are established under certain conditions on the coefficients. These estimates imply the uniqueness of the solution to the Cauchy problem and a priori estimates.

AB - A class of fourth-order strictly pseudohyperbolic operators with variable coefficients is considered. Energy estimates are established under certain conditions on the coefficients. These estimates imply the uniqueness of the solution to the Cauchy problem and a priori estimates.

KW - energy estimates

KW - equations unsolved with respect to the highest order derivative

KW - pseudohyperbolic operators

KW - weighted Sobolev spaces

UR - https://www.mendeley.com/catalogue/58b5b57e-d4db-3e59-bdfe-8c5793301bd2/

UR - http://scopus.com/record/display.uri?eid=2-s2.0-85205371507&origin=inward&txGid=186df39f50f856b67c4f4dc1453fa8f0

U2 - 10.1134/S0965542524700805

DO - 10.1134/S0965542524700805

M3 - Article

VL - 64

SP - 1755

EP - 1764

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 8

ER -

ID: 60817746