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- Publisher
- de Gruyter
- Copyright
- © 1996 Plenum Publishing Corporation
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/GMJ.1996.363
- Publisher site
- See Article on Publisher Site
Abstract
The correct formulation of a Darboux type multidimensional problem for second-order hyperbolic systems is investigated. The correct formulation of such a problem in the Sobolev space is proved for temporal type surfaces on which the boundary conditions of a Darboux type problem are given.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Aug 1, 1996
Keywords: Darboux type problem; hyperbolic systems; Sobolev space; a priori estimate