Cauchy Problem for One Pseudohyperbolic System

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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Veröffentlicht in:Computational mathematics and mathematical physics 2020-04, Vol.60 (4), p.615-627
Hauptverfasser: Bondar, L. N., Demidenko, G. V., Pintus, G. M.
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Sprache:eng
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Cauchy problems
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
Sobolev space
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creator Bondar, L. N.
Demidenko, G. V.
Pintus, G. M.
description 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.
doi_str_mv 10.1134/S0965542520040053
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subjects Cauchy problems
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
Sobolev space
title Cauchy Problem for One Pseudohyperbolic System
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