Continuous Observability of Second-Order Parabolic Equations Under Degenerate Mobile Sensors

Alexander Y. Khapalov
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Alexander Y. Khapalov: Washington State University, Department of Mathematics and Statistics

Chapter Chapter 3 in Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations, 2017, pp 29-37 from Springer

Abstract: Abstract In this chapter we extend the observability results obtained in the previous chapter to a general second-order parabolic equation. Depending on the regularity of solutions of the system at hand, we deal with either mobile point sensors ( 1.24 ) or spatially averaged sensors ( 1.28 ). Applications to approximate and exact null-controllability are also discussed.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-60414-5_3

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DOI: 10.1007/978-3-319-60414-5_3

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