کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9495832 1335192 2005 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On invariant tori of full dimension for 1D periodic NLS
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On invariant tori of full dimension for 1D periodic NLS
چکیده انگلیسی
The multiplier M=(Vn) in (0.3) is to be considered as a parameter and (0.1) a parameter-dependent equation. The role of this parameter is essential to ensure appropriate nonresonance properties of the (modulated) frequencies along the iteration. In the absence of exterior parameters, these conditions need to be realized from amplitude-frequency modulation and suitable restriction of the action-variables. This problem is harder. Indeed, a fast decay of the action-variables (enhancing convergence of the process) allows less frequency modulation and worse small divisors (cf. [Bourgain, On diffusion in high-dimensional Hamiltonian systems and PDE, J. Anal. Math. 80 (2000) 1-35]).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 229, Issue 1, 1 December 2005, Pages 62-94
نویسندگان
,