Observability Inequalities by Internal Observation and Their Applications

K. Liu, M. Yamamoto and X. Zhang
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K. Liu: Zhejiang University
M. Yamamoto: University of Tokyo
X. Zhang: Sichuan University

Journal of Optimization Theory and Applications, 2003, vol. 116, issue 3, No 7, 645 pages

Abstract: Abstract By means of a Carleman estimate, we obtain several observability inequalities by internal observation for hyperbolic equations with lower-order terms. Also, we apply our observability results to an exact controllability problem and an inverse wave source problem.

Keywords: Observability inequalities; wave equation; Carleman estimates; exact controllability; inverse problems (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1023069420681

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