کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843320 | 1470529 | 2009 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence rate for a semilinear parabolic equation with a singular nonlinearity
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the behavior of solutions of the Cauchy problem for a semilinear parabolic equation with a singular power nonlinearity. It is known for a supercritical heat equation that if two solutions are initially close enough near the spatial infinity, then these solutions approach each other. In fact, given a specific decay rate of initial data, a sharp estimate of the convergence rate can be obtained explicitly. The main purpose of this research is to show a similar result for a semilinear parabolic equation with a singular absorption term. We also obtain a universal lower bound of the convergence rate which implies the optimality of the result. Proofs are given by a comparison method that is based on matched asymptotic expansion.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issues 5â6, 1â15 September 2009, Pages 2236-2256
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issues 5â6, 1â15 September 2009, Pages 2236-2256
نویسندگان
Masaki Hoshino,