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Sharp Observability Costs for Strongly Coupled Parabolic Systems with Vanishing Principal Coupling

Zhu, Xiaomin
arXiv (All) · Papers
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analysis-of-pdesoptimization-and-control
We study the loss of observability for a class of strongly coupled parabolic systems as the coupling parameter tends to zero. The system is observed through a fixed matrix $B$ on a measurable subset of space-time with positive measure. Under the Kalman rank condition, we determine the exact blow-up
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