کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417083 1338528 2015 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Admissible boundary values for the defocusing nonlinear Schrödinger equation with asymptotically time-periodic data
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Admissible boundary values for the defocusing nonlinear Schrödinger equation with asymptotically time-periodic data
چکیده انگلیسی

We consider solutions of the defocusing nonlinear Schrödinger equation in the quarter plane whose Dirichlet boundary data approach a single exponential αeiωt as t→∞. In order to determine the long time asymptotics of the solution, it is necessary to first characterize the asymptotic behavior of the Neumann value in terms of the given data. Assuming that the initial data decay as x→∞, we derive necessary conditions for the Neumann value to asymptote towards a single exponential of the form ceiωt. Since our approach yields expressions which relate α, ω, and c, the result can be viewed as a characterization of the large t behavior of the Dirichlet to Neumann map for single exponential profiles.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 5617-5639
نویسندگان
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