کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898983 1631506 2018 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation
چکیده انگلیسی
The proofs of both results rely on estimates of appropriate energies whose constructions are inspired by the method of normal-form transforms. To justify the NLS approximation, we have to overcome additional difficulties caused by the occurrence of resonances. We expect that the method developed in the present paper will also allow to prove the validity of the NLS approximation for a larger class of quasilinear dispersive systems with resonances.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 4, 15 February 2018, Pages 2598-2632
نویسندگان
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