کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417119 1338528 2015 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic behavior of degenerate logistic equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Asymptotic behavior of degenerate logistic equations
چکیده انگلیسی

We analyze the asymptotic behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearities of the type λu−n(x)uρ. An important characteristic of this work is that the region where the logistic term n(⋅) vanishes, that is K0={x:n(x)=0}, may be non-smooth. We analyze conditions on λ, ρ, n(⋅) and K0 guaranteeing that the solution starting at a positive initial condition remains bounded or blows up as time goes to infinity. The asymptotic behavior may not be the same in different parts of K0.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 6368-6398
نویسندگان
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