کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8904551 | 1633708 | 2017 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Almost conservation laws and global rough solutions of the defocusing nonlinear wave equation on â2
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Almost conservation laws and global rough solutions of the defocusing nonlinear wave equation on â2 Almost conservation laws and global rough solutions of the defocusing nonlinear wave equation on â2](/preview/png/8904551.png)
چکیده انگلیسی
In this article, we investigate the initial value problem(IVP) associated with the defocusing nonlinear wave equation on â2 as follows:
{âttu-Îu=-u3,u(0,x)=u0(x),âtu(0,x)=u1(x),where the initial data (u0, u1) É Hs(â2) Ã Hsâ1(â2). It is shown that the IVP is global well-posedness in Hs(â2) Ã Hsâ1(â2) for any 1 > s > 2/5. The proof relies upon the almost conserved quantity in using multilinear correction term. The main difficulty is to control the growth of the variation of the almost conserved quantity. Finally, we utilize linear-nonlinear decomposition benefited from the ideas of Roy [1].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 37, Issue 2, March 2017, Pages 385-394
Journal: Acta Mathematica Scientia - Volume 37, Issue 2, March 2017, Pages 385-394
نویسندگان
Zaiyun ZHANG, Jianhua HUANG, Mingbao SUN,