کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417747 1339305 2015 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the critical exponent for some semilinear reaction-diffusion systems on general domains
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the critical exponent for some semilinear reaction-diffusion systems on general domains
چکیده انگلیسی

In this study, we consider the parabolic systems ut−Δu=f(t)vp, vt−Δv=f(t)uq and ut−Δu=f(t)(ur+vp), vt−Δv=f(t)(uq+vs) in Ω×(0,T) with homogeneous Dirichlet boundary condition, p,q,r,s≥1 and f∈C[0,∞). The initial data are considered in the space {(u0,v0)∈[C0(Ω)]2;u0,v0≥0}, where Ω is a general domain (bounded or unbounded) with a smooth boundary. We find the conditions that guarantee the global existence (or the blow-up in finite time) of nonnegative solutions. These conditions are given in terms of the asymptotic behavior of the solution of the homogeneous linear problem: ut−Δu=0 in Ω×(0,∞).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 428, Issue 2, 15 August 2015, Pages 1117-1134
نویسندگان
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