کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843919 908569 2008 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The decay rates of solutions of generalized Benjamin–Bona–Mahony equations in multi-dimensions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The decay rates of solutions of generalized Benjamin–Bona–Mahony equations in multi-dimensions
چکیده انگلیسی

In this paper, we study the decay rates of the generalized Benjamin–Bona–Mahony equations in multi-dimensional space. By using Fourier analysis for low frequencies, and by applying the energy method for high frequencies, we obtain the L2L2 convergence rates of the solution when the initial data is in a bounded subset of the phase space H1(Rn)(n≥3). The optimum decay rate is obtained in our results since it is the same as for the heat equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 7, 1 October 2008, Pages 2230–2235
نویسندگان
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