کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4592837 1335151 2008 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order
چکیده انگلیسی

Solutions to the Cauchy problem for the one-dimensional cubic nonlinear Schrödinger equation on the real line are studied in Sobolev spaces Hs, for s negative but close to 0. For smooth solutions there is an a priori upper bound for the Hs norm of the solution, in terms of the Hs norm of the datum, for arbitrarily large data, for sufficiently short time. Weak solutions are constructed for arbitrary initial data in Hs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 254, Issue 2, 15 January 2008, Pages 368-395