کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840226 | 1470520 | 2013 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global existence and open loop exponential stabilization of weak solutions for nonlinear Schrödinger equations with localized external Neumann manipulation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we consider the nonlinear Schrödinger equations (NLS) with (focusing/defocusing) interior source and (possibly nonlinear) damping on a bounded regular domain in the Euclidean space. Moreover, it is assumed that the solutions are subject to external Neumann boundary manipulation on one portion of the boundary. Our aim is to obtain global existence of the weak solutions under various assumptions on the sign of the source and powers of the nonlinearities. In the case of a linear damping, we also prove that solutions decay exponentially under the assumption that the Neumann type control at the boundary decays in a similar manner.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 80, March 2013, Pages 179–193
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 80, March 2013, Pages 179–193
نویسندگان
Türker Özsarı,