کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774335 | 1413556 | 2017 | 35 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Well-posedness for the fifth order KP-II initial data problem in Hs,0(RÃT)
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Well-posedness for the fifth order KP-II initial data problem in Hs,0(RÃT) Well-posedness for the fifth order KP-II initial data problem in Hs,0(RÃT)](/preview/png/5774335.png)
چکیده انگلیسی
The well-posed properties for the fifth order KP-II initial value problem for xâR, yâT are considered. It is proved to be locally well posed in Hs,0(RÃT) for sâ¥â34 with small initial data and s>â34 with general initial data. By the L2 conservation law of KP equation, the L2 global well-posedness is also obtained. The crucial ingredient of the argument is the L2 estimates of a bilinear operator which was introduced in recent works [14] and [13]. This operator is Galilean invariant in the content of T2 and R2 but not in the content RÃT.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 3, 5 February 2017, Pages 2196-2230
Journal: Journal of Differential Equations - Volume 262, Issue 3, 5 February 2017, Pages 2196-2230
نویسندگان
Junfeng Li, Xia Li,