An observability estimate for parabolic equations from a mesurable set in time and its applications
نویسندگان
چکیده
Abstract. This paper presents a new observability estimate for parabolic equations in × (0, T ), where is a convex domain. The observation region is restricted over a product set of an open nonempty subset of 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.
منابع مشابه
An observability estimate for parabolic equations from a measurable set in time and its applications
Abstract. This paper presents a new observability estimate for parabolic equations in × (0, T ), where is a convex domain. The observation region is restricted over a product set of an open nonempty subset of 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 f...
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