کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10427103 908641 2005 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global existence of solution to the Camassa-Holm equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Global existence of solution to the Camassa-Holm equation
چکیده انگلیسی
In this paper, we prove the result of global existence of solution to Camassa-Holm equation under the assumption that v0≔u0-u0″ has unique zero point and that v0 is negative at -∞. In this situation v0 clearly changes sign.Thus our result completes the picture described in [Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)XXVI (1998) 303], where the global existence of solutions is shown under the assumption that v0 does not change sign. We also give the sufficient and necessary condition of global existence of the solution when v0 is odd, with unique zero point.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 60, Issue 5, February 2005, Pages 945-953
نویسندگان
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