کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898982 | 1631506 | 2018 | 45 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Large data well-posedness in the energy space of the Chern-Simons-Schrödinger system
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Large data well-posedness in the energy space of the Chern-Simons-Schrödinger system Large data well-posedness in the energy space of the Chern-Simons-Schrödinger system](/preview/png/8898982.png)
چکیده انگلیسی
We consider the initial-value problem for the Chern-Simons-Schrödinger system, which is a gauge-covariant Schrödinger system in RtÃRx2 with a long-range electromagnetic field. We show that, in the Coulomb gauge, it is locally well-posed in Hs for s⩾1, and the solution map satisfies a local-in-time weak Lipschitz bound. By energy conservation, we also obtain a global regularity result. The key is to retain the non-perturbative part of the derivative nonlinearity in the principal operator, and exploit the dispersive properties of the resulting paradifferential-type principal operator using adapted Up and Vp spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 4, 15 February 2018, Pages 2553-2597
Journal: Journal of Differential Equations - Volume 264, Issue 4, 15 February 2018, Pages 2553-2597
نویسندگان
Zhuo Min Lim,