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Exact boundary observability for nonautonomous first‐order quasilinear hyperbolic systems
Author(s) -
Guo Lina,
Wang Zhiqiang
Publication year - 2008
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.1013
Subject(s) - observability , mathematics , eigenvalues and eigenvectors , mathematical analysis , boundary (topology) , hyperbolic partial differential equation , hyperbolic equilibrium point , boundary value problem , order (exchange) , zero (linguistics) , first order , hyperbolic function , hyperbolic manifold , partial differential equation , linguistics , philosophy , physics , finance , quantum mechanics , economics
By means of the theory on the semiglobal C 1 solution to the mixed initial‐boundary value problem for first‐order quasilinear hyperbolic systems, we establish the local exact boundary observability for general nonautonomous first‐order quasilinear hyperbolic systems without zero eigenvalues and reveal the essential difference between nonautonomous hyperbolic systems and autonomous hyperbolic systems. Copyright © 2008 John Wiley & Sons, Ltd.