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Exact boundary observability for 1‐D quasilinear wave equations
Author(s) -
Li Daqian Li Tatsien
Publication year - 2006
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.741
Subject(s) - observability , controllability , mathematics , boundary (topology) , constructive , mathematical analysis , boundary value problem , wave equation , duality (order theory) , pure mathematics , computer science , process (computing) , operating system
By means of a direct and constructive method based on the theory of semi‐global C 2 solution, the local exact boundary observability and an implicit duality between the exact boundary controllability and the exact boundary observability are shown for 1‐D quasilinear wave equations with various boundary conditions. Copyright © 2006 John Wiley & Sons, Ltd.