【摘 要】
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This is a joint work with Qilin Liu.In this paper,we investigate the blow-up property of the solution to the following integro-parabolic equation {ut =/△u
【机 构】
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DepartmentofMathematics,SoutheastUniversity,Nanjing,China
【出 处】
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International Conference on Nonlinear PDEs and Their Applica
论文部分内容阅读
This is a joint work with Qilin Liu.In this paper,we investigate the blow-up property of the solution to the following integro-parabolic equation {ut =/△u + eαu + γ-1/|Ω| ∫eβudx,Ω x∈Ω,t>0,u(x,t) =O,x ∈ (δ)Ω,t > O,(1)u(x,0) =u0(x),x ∈ Ω,where α,β > 0 and γ > 1,and Ω ={x ∈ Rn:|x| < R}.Let u be the blow up solution of (1) and set g(t)=r-1/|Ω|∫Ωeβudx,G(t)=∫tOg(s)ds.
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