Geodesic
An observability estimate for parabolic equations from a measurable set in time and its applications
Journal of the European Mathematical Society, Tome 15 (2013) no. 2, pp. 681-703 Cet article a éte moissonné depuis la source EMS Press

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This paper presents a new observability estimate for parabolic equations in Ω×(0,T) , where Ω is a convex domain. The observation region is restricted over a product set of an open nonempty subset of Ω and a subset of positive measure in (0,T) . This estimate is derived with the aid of a quantitative unique continuation at one point in time. Applications to the bang-bang property for norm and time optimal control problems are provided.
DOI : 10.4171/jems/371
Classification : 93-XX, 35-XX, 00-XX
Keywords: Parabolic equations, observability estimate, quantitative unique continuation, bang-bang property 
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     author = {Kim Dang Phung and Gengsheng Wang},
     title = {An observability estimate for parabolic equations from a measurable set in time and its applications},
     journal = {Journal of the European Mathematical Society},
     pages = {681--703},
     year = {2013},
     volume = {15},
     number = {2},
     doi = {10.4171/jems/371},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/371/}
}
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Kim Dang Phung; Gengsheng Wang. An observability estimate for parabolic equations from a measurable set in time and its applications. Journal of the European Mathematical Society, Tome 15 (2013) no. 2, pp. 681-703. doi: 10.4171/jems/371

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