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摘要
This paper presents a new observability estimate for parabolic equations in Omega x (0, T), where Omega is a convex domain. The observation region is restricted over a product set of an open nonempty subset of Omega 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.
- 出版日期2013
- 单位武汉大学
