کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4622777 1339505 2006 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problems
چکیده انگلیسی

In this paper we study a semilinear heat equation in a long cylindrical region if the far end and the lateral surface are held at zero temperature and a nonzero temperature is applied at the near end. Our aim is to derive some explicit spatial decay bounds for the solution and its derivatives and to show that the solution depends continuously on the data at the near end of the cylinder.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 323, Issue 2, 15 November 2006, Pages 993-1000