Cauchy Problem for One Pseudohyperbolic System

The Cauchy problem for one pseudohyperbolic system is considered. The unique solvability of this problem in Sobolev spaces is proved. Systems of this type arise in describing wave dynamics in rods.

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2020-04, Vol.60 (4), p.615-627
Main Authors: Bondar, L. N., Demidenko, G. V., Pintus, G. M.
Format: Article
Language:English
Subjects:
Cauchy problems
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
Sobolev space
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Description
Summary:The Cauchy problem for one pseudohyperbolic system is considered. The unique solvability of this problem in Sobolev spaces is proved. Systems of this type arise in describing wave dynamics in rods.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542520040053