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The well-posedness of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation

Authors :
S. A. Aldashev
Source :
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 4(29), Pp 48-55 (2012)
Publication Year :
2012
Publisher :
Samara State Technical University, 2012.

Abstract

This paper proves the unique solvability of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation, which is the generalization of the Dirichlet and Poincare problems. We also obtain the criterion for the uniqueness of the regular solution.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English, Russian
ISSN :
19918615 and 23107081
Volume :
4(29)
Database :
Directory of Open Access Journals
Journal :
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Publication Type :
Academic Journal
Accession number :
edsdoj.5589d42eec94e87bfacb2bcdbcbea49
Document Type :
article
Full Text :
https://doi.org/10.14498/vsgtu1078