On well-posedness of the Cauchy problem for pseudohyperbolic equations in weighted Sobolev spaces Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2023, Volume: 64, Number: 5, Pages: 1076–1090 Pages count : 15 DOI: 10.1134/S0037446623050026 | ||||
| Tags | equations that are not solved with respect to the higher-order derivative, pseudohyperbolic equations, energy estimate | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
We consider a class of strictly pseudohyperbolic equations and establish some solvability conditions of the Cauchy problem in the class of weighted Sobolev spaces. We also prove the uniqueness of solutions and obtain some estimates.
Cite:
Bondar L.N.
, Demidenko G.V.
On well-posedness of the Cauchy problem for pseudohyperbolic equations in weighted Sobolev spaces
Siberian Mathematical Journal. 2023. V.64. N5. P.1076–1090. DOI: 10.1134/S0037446623050026 WOS Scopus РИНЦ OpenAlex
On well-posedness of the Cauchy problem for pseudohyperbolic equations in weighted Sobolev spaces
Siberian Mathematical Journal. 2023. V.64. N5. P.1076–1090. DOI: 10.1134/S0037446623050026 WOS Scopus РИНЦ OpenAlex
Original:
Бондарь Л.Н.
, Демиденко Г.В.
О корректности задачи Коши для псевдогиперболических уравнений в весовых соболевских пространствах
Сибирский математический журнал. 2023. Т.64. №5. С.895-911. DOI: 10.33048/smzh.2023.64.502 РИНЦ
О корректности задачи Коши для псевдогиперболических уравнений в весовых соболевских пространствах
Сибирский математический журнал. 2023. Т.64. №5. С.895-911. DOI: 10.33048/smzh.2023.64.502 РИНЦ
Dates:
| Submitted: | May 4, 2023 |
| Accepted: | May 16, 2023 |
| Published print: | Sep 26, 2023 |
| Published online: | Sep 26, 2023 |
Identifiers:
| Web of science: | WOS:001075048700002 |
| Scopus: | 2-s2.0-85174730523 |
| Elibrary: | 63055551 |
| OpenAlex: | W4387063301 |