کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617015 1339366 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The existence of global strong and weak solutions for the Novikov equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The existence of global strong and weak solutions for the Novikov equation
چکیده انگلیسی

The well-posedness of the global strong and weak solutions for the Novikov equation is investigated. Provided that initial value u0∈Hs(s>32) and satisfying a sign condition, the existence and uniqueness of global strong solutions for the equation are shown to be valid in Sobolev space. The estimates in Hq(R)Hq(R) space with 0≤q≤12, which are derived from the equation itself, are developed to prove the existence and uniqueness of the global weak solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 399, Issue 2, 15 March 2013, Pages 682–691
نویسندگان
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