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Source localization and sensor placement in environmental monitoring. (English) Zbl 1211.93071

Summary: We discuss two closely related problems arising in environmental monitoring. The first is the source localization problem linked to the question ‘How can one find an unknown “contamination source”?’ The second is an associated sensor placement problem: ‘Where should we place sensors that are capable of providing the necessary “adequate data” for that?’ Our approach is based on some concepts and ideas developed in mathematical control theory of partial differential equations.

MSC:

93C20 Control/observation systems governed by partial differential equations
93B05 Controllability
93B30 System identification
35K20 Initial-boundary value problems for second-order parabolic equations
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References:

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