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Single blowup point for a semilinear reaction‐diffusion system

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Throughout this paper, we investigate the blowup set for the semilinear reaction‐diffusion system ut=Δu+f(u,v),x∈Ω,t>0,vt=Δv+g(u,v),x∈Ω,t>0,u(x,t)=v(x,t)=0,x∈∂Ω,t>0,u(x,0)=u0(x),v(x,0)=v0(x),x∈Ω,where Ω=BR:={x∈Rn;|x| Click to show full abstract

Throughout this paper, we investigate the blowup set for the semilinear reaction‐diffusion system ut=Δu+f(u,v),x∈Ω,t>0,vt=Δv+g(u,v),x∈Ω,t>0,u(x,t)=v(x,t)=0,x∈∂Ω,t>0,u(x,0)=u0(x),v(x,0)=v0(x),x∈Ω,where Ω=BR:={x∈Rn;|x|

Keywords: semilinear reaction; reaction diffusion; diffusion system; blowup

Journal Title: Mathematische Nachrichten
Year Published: 2018

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