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On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms. / Bondar, Lina N.; Demidenko, Gennadii V.

в: Mathematics, Том 11, № 18, 3943, 09.2023.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Bondar, LN & Demidenko, GV 2023, 'On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms', Mathematics, Том. 11, № 18, 3943. https://doi.org/10.3390/math11183943

APA

Bondar, L. N., & Demidenko, G. V. (2023). On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms. Mathematics, 11(18), [3943]. https://doi.org/10.3390/math11183943

Vancouver

Bondar LN, Demidenko GV. On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms. Mathematics. 2023 сент.;11(18):3943. doi: 10.3390/math11183943

Author

Bondar, Lina N. ; Demidenko, Gennadii V. / On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms. в: Mathematics. 2023 ; Том 11, № 18.

BibTeX

@article{b66275f8315749fe975e02a8059264c2,
title = "On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms",
abstract = "We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.",
keywords = "Sobolev-type equations, energy estimate, pseudohyperbolic equations, weighted Sobolev spaces",
author = "Bondar, {Lina N.} and Demidenko, {Gennadii V.}",
note = "The work is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2023",
month = sep,
doi = "10.3390/math11183943",
language = "English",
volume = "11",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "18",

}

RIS

TY - JOUR

T1 - On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms

AU - Bondar, Lina N.

AU - Demidenko, Gennadii V.

N1 - The work is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2023/9

Y1 - 2023/9

N2 - We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.

AB - We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.

KW - Sobolev-type equations

KW - energy estimate

KW - pseudohyperbolic equations

KW - weighted Sobolev spaces

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85176417168&origin=inward&txGid=5483955b62e1ec864c464f7777f4393a

UR - https://www.mendeley.com/catalogue/a5c5e4c8-60e0-378c-b41d-546a7538bcc4/

U2 - 10.3390/math11183943

DO - 10.3390/math11183943

M3 - Article

VL - 11

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 18

M1 - 3943

ER -

ID: 59280855