An observability for parabolic equations from a measurable set in time
نویسندگان
چکیده
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.
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An observability estimate for parabolic equations from a measurable set in time and its applications
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عنوان ژورنال:
- CoRR
دوره abs/1109.3863 شماره
صفحات -
تاریخ انتشار 2011