This article is cited in 2 papers

Differential Equations

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

S. A. Aldashev

Aktobe State University after K. Zhubanov, Aktobe, Kazakhstan

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.

Keywords: multi-dimensional wave equation, cylindrical domain, local boundary value problem, solvability, uniqueness of solutions.

UDC: 517.956.3

MSC: Primary 35L05; Secondary 35R25

Original article submitted 10/V/2012
revision submitted – 12/VIII/2012

DOI: 10.14498/vsgtu1078

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