کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616307 | 1339346 | 2013 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper studies the periodic Cauchy problem for a KdV equation whose dispersion is of order m=2j+1m=2j+1, where jj is a positive integer, (KdVm). Using Bourgain–Gevrey type analytic spaces and appropriate bilinear estimates, it is shown that local in time well-posedness holds when the initial data belong to an analytic Gevrey spaces of order σσ. This implies that in the space variable the regularity of the solution remains the same with that of the initial data. It also implies that the size of the uniform radius of analyticity is preserved. Moreover, the solution is not necessarily GσGσ in time. However, it belongs to Gmσ(R)Gmσ(R) near zero for every xx on the circle.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 405, Issue 2, 15 September 2013, Pages 349–361
Journal: Journal of Mathematical Analysis and Applications - Volume 405, Issue 2, 15 September 2013, Pages 349–361
نویسندگان
J. Gorsky, A. Alexandrou Himonas, C. Holliman, G. Petronilho,