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International Journal of Fluid Mechanics Research

ISSN for PRINT: 1064-2277

Institutional price:	$1811.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2004, Volume31

113 pages

Issue price - $270.00

A Uniform Correctness of a Cauchy Problem for the Wave Equation with Nonclassic Boundary Conditions

G. M. Gubreev
South Ukrainian State Pedagogical University, Odessa, Ukraine

ABSTRACT

A criterion of uniform correctness is formulated and the norms of the Cauchy problem solutions for the wave equation with integral boundary conditions are estimated. The criterion is presented in terms of Muckenhoupt condition for a special weight on the contours that comprise the spectrum of the problem. The obtained results can be used for solving various boundary-value problems of linear acoustics in non-classical statements.