Exact boundary observability for nonautonomous quasilinear wave equations

Details Exact boundary observability for nonautonomous quasilinear wave equations Exact boundary observability for nonautonomous quasilinear wave equations

2009-07-10

arxiv.org/abs/0907.1760v1

Mathematics

Optimization and Control

18 pages, 5 figures

Scientific paper

By means of a direct and constructive method based on the theory of
semiglobal $C^2$ solution, the local exact boundary observability is shown for
nonautonomous 1-D quasilinear wave equations. The essential difference between
nonautonomous wave equations and autonomous ones is also revealed.

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