کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898978 | 1631506 | 2018 | 46 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Non-localization of eigenfunctions for Sturm-Liouville operators and applications
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Non-localization of eigenfunctions for Sturm-Liouville operators and applications Non-localization of eigenfunctions for Sturm-Liouville operators and applications](/preview/png/8898978.png)
چکیده انگلیسی
In this article, we investigate a non-localization property of the eigenfunctions of Sturm-Liouville operators Aa=ââxx+a(â
)Id with Dirichlet boundary conditions, where a(â
) runs over the bounded nonnegative potential functions on the interval (0,L) with L>0. More precisely, we address the extremal spectral problem of minimizing the L2-norm of a function e(â
) on a measurable subset Ï of (0,L), where e(â
) runs over all eigenfunctions of Aa, at the same time with respect to all subsets Ï having a prescribed measure and all Lâ potential functions a(â
) having a prescribed essentially upper bound. We provide some existence and qualitative properties of the minimizers, as well as precise lower and upper estimates on the optimal value. Several consequences in control and stabilization theory are then highlighted.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 4, 15 February 2018, Pages 2449-2494
Journal: Journal of Differential Equations - Volume 264, Issue 4, 15 February 2018, Pages 2449-2494
نویسندگان
Thibault Liard, Pierre Lissy, Yannick Privat,