کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609901 1338532 2016 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Internal null controllability of a linear Schrödinger–KdV system on a bounded interval
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Internal null controllability of a linear Schrödinger–KdV system on a bounded interval
چکیده انگلیسی

The control of a linear dispersive system coupling a Schrödinger and a linear Korteweg–de Vries equation is studied in this paper. The system can be viewed as three coupled real-valued equations by taking real and imaginary parts in the Schrödinger equation. The internal null controllability is proven by using either one complex-valued control on the Schrödinger equation or two real-valued controls, one on each equation. Notice that the single Schrödinger equation is not known to be controllable with a real-valued control. The standard duality method is used to reduce the controllability property to an observability inequality, which is obtained by means of a Carleman estimates approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 260, Issue 1, 5 January 2016, Pages 653–687
نویسندگان
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