کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774043 | 1413541 | 2017 | 41 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Regularity and stability of transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity
ترجمه فارسی عنوان
منظم بودن و پایداری جریان های گذار در معادلات غیر موضعی با زمان غیر خطی بودن اشتعال ناهمگنی
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
The present paper is devoted to the investigation of various properties of transition fronts in one-dimensional nonlocal equations in heterogeneous media of ignition type, whose existence has been established by the authors of the present paper in a previous work. It is first shown that transition fronts are continuously differentiable in space with uniformly bounded and uniformly Lipschitz continuous space partial derivative. This is the first time that space regularity of transition fronts in nonlocal equations is ever studied. It is then shown that transition fronts are uniformly steep. Finally, asymptotic stability, in the sense of exponentially attracting front-like initial data, of transition fronts is studied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 5, 5 March 2017, Pages 3390-3430
Journal: Journal of Differential Equations - Volume 262, Issue 5, 5 March 2017, Pages 3390-3430
نویسندگان
Wenxian Shen, Zhongwei Shen,