Geodesic
Observability inequalities and measurable sets
Journal of the European Mathematical Society, Tome 16 (2014) no. 11, pp. 2433-2475.

Voir la notice de l'article provenant de la source EMS Press

This paper presents two observability inequalities for the heat equation over Ω×(0,T). In the first one, the observation is from a subset of positive measure in Ω×(0,T), while in the second, the observation is from a subset of positive surface measure on ∂Ω×(0,T). It also proves the Lebeau-Robbiano spectral inequality when Ω is a bounded Lipschitz and locally star-shaped domain. Some applications for the above-mentioned observability inequalities are provided.
DOI : 10.4171/jems/490
Classification : 93-XX, 00-XX
Keywords: Observability inequality, heat equation, measurable set, spectral inequality 
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     title = {Observability inequalities and measurable sets},
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Jone Apraiz; Luis Escauriaza; Gengsheng Wang; C. Zhang. Observability inequalities and measurable sets. Journal of the European Mathematical Society, Tome 16 (2014) no. 11, pp. 2433-2475. doi : 10.4171/jems/490. http://geodesic.mathdoc.fr/articles/10.4171/jems/490/

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