Critical extinction exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption

被引：0
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作者：
Bing Gao
Jiashan Zheng
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
来源：
Advances in Difference Equations | / 2014卷
关键词：
nonlocal diffusion; reaction-diffusion; extinction; critical exponent;
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摘要：
This paper is concerned with a nonlocal reaction-diffusion equation with nonlocal source and interior absorption ut=∫RNJ(x−y)(u(y,t)−u(x,t))dy+λ∫Ωuqdx−up, x∈Ω, t>0, u(x,t)=0, x∉Ω, t≥0, u(x,0)=u0(x), x∈Ω. We investigate the critical extinction exponents for the problem based on some adequate supersolutions and subsolutions.
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