کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6426026 1345409 2012 34 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Regularity and decay of solutions of nonlinear harmonic oscillators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Regularity and decay of solutions of nonlinear harmonic oscillators
چکیده انگلیسی

We prove sharp analytic regularity and decay at infinity of solutions of variable coefficients nonlinear harmonic oscillators. Namely, we show holomorphic extension to a sector in the complex domain, with a corresponding Gaussian decay, according to the basic properties of the Hermite functions in Rd. Our results apply, in particular, to nonlinear eigenvalue problems for the harmonic oscillator associated to a real-analytic scattering, or asymptotically conic, metric in Rd, as well as to certain perturbations of the classical harmonic oscillator.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 229, Issue 2, 30 January 2012, Pages 1266-1299
نویسندگان
, ,