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Formula of Kirchhoff Type for Mixed Problem Научная публикация

Журнал

Russian Mathematics
ISSN: 1066-369X , E-ISSN: 1934-810X

Вых. Данные

Год: 2021, Том: 65, Номер: 6, DOI: 10.3103/S1066369X21060013

Ключевые слова

Cauchy problem; Duhamelintegral; Kirchhoff formula; wave equation

Авторы

Anikonov D.S. ¹ , Konovalova D.S. ¹

Организации

1	Sobolev Institute of Mathematics,Siberian Branch of the Russian Academy of Sciences, 4 Koptyug ave., Novosibirsk, 630090, Russian Federation

The initial-boundary value problem for the waveequation is considered in the three-dimensional half-space. Theoscillation process is initiated by the initial data andthe boundary mode. We prove a theorem of existence and uniqueness ofthe solution; it is presented in the form of the generalizedKirchhoff formula. This work can be considered as a generalizationto the three-dimensional case of the classical result for equationsof oscillations of a semi-bounded string. © 2021, Allerton Press, Inc.

Anikonov D.S. , Konovalova D.S.
Formula of Kirchhoff Type for Mixed Problem
Russian Mathematics. 2021. V.65. N6. DOI: 10.3103/S1066369X21060013 WOS Scopus OpenAlex

Web of science:	WOS:000672465000001
Scopus:	2-s2.0-85109742604
OpenAlex:	W3182992293

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