کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415018 1334899 2016 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the propagation of regularities in solutions of the Benjamin-Ono equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the propagation of regularities in solutions of the Benjamin-Ono equation
چکیده انگلیسی

We shall deduce some special regularity properties of solutions to the IVP associated to the Benjamin-Ono equation. Mainly, for datum u0∈H3/2(R) whose restriction belongs to Hm((b,∞)) for some m∈Z+,m≥2, and b∈R we shall prove that the restriction of the corresponding solution u(⋅,t) belongs to Hm((β,∞)) for any β∈R and any t>0. Therefore, this type of regularity of the datum travels with infinite speed to its left as time evolves.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 270, Issue 3, 1 February 2016, Pages 976-1000
نویسندگان
, , ,