کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898151 1631317 2018 60 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the wellposedness of the KdV/KdV2 equations and their frequency maps
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the wellposedness of the KdV/KdV2 equations and their frequency maps
چکیده انگلیسی
In form of a case study for the KdV and the KdV2 equations, we present a novel approach of representing the frequencies of integrable PDEs which allows to extend them analytically to spaces of low regularity and to study their asymptotics. Applications include convexity properties of the Hamiltonians and wellposedness results in spaces of low regularity. In particular, it is proved that on Hs the KdV2 equation is C0-wellposed if s⩾0 and illposed (in a strong sense) if s<0.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincaré C, Analyse non linéaire - Volume 35, Issue 1, January–February 2018, Pages 101-160
نویسندگان
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