کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615375 | 1339314 | 2015 | 43 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic expansion of solutions to the nonlinear dissipative equation with the anomalous diffusion
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The initial-value problem for the dissipative equation with the extra-force-term is considered. The dissipative effect on this equation is given by the fractional Laplacian which describes the anomalous diffusion. The main goal of this paper is to give an estimate on the difference between solutions and their asymptotic expansion as the space and the time variables tend to infinity. Furthermore, as an application, the large-time behavior of solutions to some concrete problems are discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 427, Issue 2, 15 July 2015, Pages 1027–1069
Journal: Journal of Mathematical Analysis and Applications - Volume 427, Issue 2, 15 July 2015, Pages 1027–1069
نویسندگان
Masakazu Yamamoto,