کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591174 | 1335014 | 2012 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Time optimal boundary controls for the heat equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Time optimal boundary controls for the heat equation Time optimal boundary controls for the heat equation](/preview/png/4591174.png)
چکیده انگلیسی
The fact that the time optimal controls for parabolic equations have the bang–bang property has been recently proved for controls distributed inside the considered domain (interior control). The main result in this article asserts that the boundary controls for the heat equation have the same property, at least in rectangular domains. This result is proved by combining methods from traditionally distinct fields: the Lebeau–Robbiano strategy for null controllability and estimates of the controllability cost in small time for parabolic systems, on one side, and a Remez-type inequality for Müntz spaces and a generalization of Turánʼs inequality, on the other side.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 263, Issue 1, 1 July 2012, Pages 25-49
Journal: Journal of Functional Analysis - Volume 263, Issue 1, 1 July 2012, Pages 25-49