کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898179 | 1631320 | 2017 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the quadratic derivative nonlinear Schrödinger equation (dNLS) on the circle. In particular, we develop an infinite iteration scheme of normal form reductions for dNLS. By combining this normal form procedure with the Cole-Hopf transformation, we prove unconditional global well-posedness in L2(T), and more generally in certain Fourier-Lebesgue spaces FLs,p(T), under the mean-zero and smallness assumptions. As a byproduct, we construct an infinite sequence of quantities that are invariant under the dynamics. We also show the necessity of the smallness assumption by explicitly constructing a finite time blowup solution with non-small mean-zero initial data.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 34, Issue 5, SeptemberâOctober 2017, Pages 1273-1297
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 34, Issue 5, SeptemberâOctober 2017, Pages 1273-1297
نویسندگان
Jaywan Chung, Zihua Guo, Soonsik Kwon, Tadahiro Oh,