کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841987 908523 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Well-posedness and ill-posedness for a fifth-order shallow water wave equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Well-posedness and ill-posedness for a fifth-order shallow water wave equation
چکیده انگلیسی

In this paper we establish a new bilinear estimate in suitable Bourgain spaces by using a fundamental estimate on dyadic blocks for the Kawahara equation which was obtained by the [k;Z][k;Z] multiplier norm method of Tao (2001) [2]; then the local well-posedness of the Cauchy problem for a fifth-order shallow water wave equation in Hs(R) with s>−54 is obtained by the Fourier restriction norm method. And some ill-posedness in Hs(R) with s<−54 is derived from a general principle of Bejenaru and Tao.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issue 5, 1 March 2010, Pages 2412–2420
نویسندگان
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