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Article information
1996 , Volume 1, ¹ 2, p.26-46
Blokhin A.M., Tkachev D.L.
A mixed problem for the wave equation in coordinate domains. II. Obtaining of a priori estimates protect in mixed problems of protect multidimensional wave equation
In the second part of the article (the first one has been published in the previous issue of journal) a new and simple method is suggested for obtaining the known a priori estimation of solution from of the mixed problem for the multidimensional wave equation in a half plane with boundary conditions of an oblique derivative type. The method combines elements of the Fourier-Laplace transform technique with the energy integrals technique. For the case of the mixed problem for the multidimensional wave equation in a coordinate corner, a domain of values of the boundary conditions parameters is selected out where the a priori estimation of solution from without loss of generality is valid. The complete list of the literature has been adduced in the first part of the article.
[full text] Classificator Msc2000:- *35L05 Wave equation
- 35L20 Boundary value problems for second-order, hyperbolic equations
- 35L55 Hyperbolic systems of higher-order PDE
Keywords: mixed boundary value problem, a priori estimate
Author(s):
Blokhin Alexander Mikhailovich
Dr. , Professor
Position: Head of Laboratory
Office: Institute of Mathematics SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Koptyug ave, 4
Phone Office: (383) 329 76 75
E-mail: blokhin@math.nsc.ru
Tkachev Dmitriy L
Office: Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Ac. Koptyug ave, 4
Bibliography link:
Blokhin A.M., Tkachev D.L. A mixed problem for the wave equation in coordinate domains. II. Obtaining of a priori estimates protect in mixed problems of protect multidimensional wave equation // Computational technologies. 1996. V. 1. ¹ 2. P. 26-46
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