کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613557 1631516 2006 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Cauchy problem of 3-D energy-critical Schrödinger equations with subcritical perturbations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the Cauchy problem of 3-D energy-critical Schrödinger equations with subcritical perturbations
چکیده انگلیسی

We investigate the global well-posedness, scattering and blow up phenomena when the 3-D quintic nonlinear Schrödinger equation, which is energy-critical, is perturbed by a subcritical nonlinearity λ1p|u|u. We find when the quintic term is defocussing, then the solution is always global no matter what the sign of λ1 is. Scattering will occur either when the perturbation is defocussing and or when the mass of the solution is small enough and . When the quintic term is focusing, we show the blow up for certain solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 230, Issue 2, 15 November 2006, Pages 422-445