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On a class of pseudohyperbolic operators with variable coefficients Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2025, Volume: 66, Number: 6, Pages: 1395-1404 Pages count : 10 DOI: 10.1134/S0037446625060060
Tags equations not resolved with respect to the highest derivative, pseudohyperbolic operators, energy estimates, weighted Sobolev spaces
Authors Demidenko G.V. 1,2 , Ma X. 2
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State University

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0008

Abstract: We consider a class of strictly pseudohyperbolic operators of the sixth order with variable coefficients. The class contains, in particular, the generalized Boussinesq operator. Under certain conditions on the coefficients, energy estimates are established.
Cite: Demidenko G.V. , Ma X.
On a class of pseudohyperbolic operators with variable coefficients
Siberian Mathematical Journal. 2025. V.66. N6. P.1395-1404. DOI: 10.1134/S0037446625060060 WOS Scopus РИНЦ OpenAlex
Original: Демиденко Г.В. , Ма C.
Об одном классе псевдогиперболических операторов с переменными коэффициентами
Сибирский математический журнал. 2025. Т.66. №6. С.1063-1073. DOI: 10.33048/smzh.2025.66.606
Dates:
Submitted: Aug 1, 2025
Accepted: Aug 27, 2025
Published print: Nov 24, 2025
Published online: Nov 24, 2025
Identifiers:
Web of science: WOS:001622319900004
Scopus: 2-s2.0-105022663388
Elibrary: 84013577
OpenAlex: W7106570378
Citing: Пока нет цитирований
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