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arxiv: 0907.1760 · v1 · submitted 2009-07-10 · 🧮 math.OC · math.AP

Exact boundary observability for nonautonomous quasilinear wave equations

classification 🧮 math.OC math.AP
keywords equationsnonautonomouswaveboundaryexactobservabilityquasilinearautonomous
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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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