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Global exact boundary observability for first‐order quasilinear hyperbolic systems of diagonal form
Author(s) -
Yu Lixin
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2520
Subject(s) - observability , mathematics , uniqueness , diagonal , degenerate energy levels , boundary (topology) , constructive , mathematical analysis , boundary value problem , order (exchange) , controllability , geometry , physics , process (computing) , finance , quantum mechanics , computer science , economics , operating system
In this paper, by means of a constructive method based on the theory of the existence and the uniqueness of the C 1 solution to the Cauchy problem and the Goursat problem, the global exact boundary observability for the first‐order quasilinear hyperbolic systems of diagonal form with linearly degenerate characteristics is obtained. In the case that the system has no zero characteristics, we realize the two‐sided and one‐sided global exact boundary observability by the boundary observed values and obtain the observability inequality. Copyright © 2012 John Wiley & Sons, Ltd.