کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4589655 1334895 2016 63 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On spectral stability of the nonlinear Dirac equation
ترجمه فارسی عنوان
در ثبات طیفی معادله غیر خطی دیاراک
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
We study the point spectrum of the nonlinear Dirac equation in any spatial dimension, linearized at one of the solitary wave solutions. We prove that, in any dimension, the linearized equation has no embedded eigenvalues in the part of the essential spectrum beyond the embedded thresholds. We then prove that the birth of point eigenvalues with nonzero real part (the ones which lead to linear instability) from the essential spectrum is only possible from the embedded eigenvalues or thresholds, and therefore can not take place beyond the embedded thresholds. We also prove that “in the nonrelativistic limit” ω→m, the point eigenvalues can only accumulate to 0 and ±2mi.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 271, Issue 6, 15 September 2016, Pages 1462-1524
نویسندگان
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