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Existence of Solutions for Hyperbolic System of Second Order Outside a Domain
Author(s) -
Jie Xin,
Xiuyan Sha
Publication year - 2009
Publication title -
journal of inequalities and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 50
eISSN - 1029-242X
pISSN - 1025-5834
DOI - 10.1155/2009/489061
Subject(s) - mathematics , domain (mathematical analysis) , order (exchange) , hyperbolic partial differential equation , mathematical analysis , boundary value problem , hyperbolic manifold , initial value problem , pure mathematics , hyperbolic function , partial differential equation , finance , economics
We study the mixed initial-boundary value problem for hyperbolic system of second order outside a closed domain. The existence of solutions to this problem is proved and the estimate for the regularity of solutions is given. The application of the existence theorem to elastrodynamics is discussed

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