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- W2066705896 abstract "We give general results about the identifiability of source terms for infinite-dimensional linear systems that are exactly observable. We allow the source term to be unbounded, i.e., not contained in the state space, but in one of a sequence of extended spaces. We show that the operator from the source term to the output function is bounded from below, in suitable norms. We apply the main result to a system described by the wave equation in a bounded $$n$$ -dimensional domain. We derive results of independent interest concerning the range of the input map of an exactly controllable system, when restricted to various spaces of smooth input functions." @default.
- W2066705896 created "2016-06-24" @default.
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- W2066705896 date "2014-05-21" @default.
- W2066705896 modified "2023-10-07" @default.
- W2066705896 title "From exact observability to identification of singular sources" @default.
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- W2066705896 doi "https://doi.org/10.1007/s00498-014-0132-z" @default.
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